10871635968 has 140 divisors (see below), whose sum is σ = 32480690055. Its totient is φ = 3623878656.

The previous prime is 10871635967. The next prime is 10871635969. The reversal of 10871635968 is 86953617801.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Jordan-Polya number, since it can be written as (4!)⁴ ⋅ (2!)¹⁵.

It is an interprime number because it is at equal distance from previous prime (10871635967) and next prime (10871635969).

It can be written as a sum of positive squares in only one way, i.e., 5435817984 + 5435817984 = 73728^2 + 73728^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=3, B=1536.

It is a super-2 number, since 2×10871635968² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (10871635967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 4 ways as a sum of consecutive naturals, for example, 3623878655 + 3623878656 + 3623878657.

Almost surely, 2^10871635968 is an apocalyptic number.

10871635968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10871635968

10871635968 is an abundant number, since it is smaller than the sum of its proper divisors (21609054087).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10871635968 is an frugal number, since it uses more digits than its factorization.

10871635968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 5 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

Multiplying 10871635968 by its sum of digits (54), we get a 7-th power (587068342272 = 48⁷).

The spelling of 10871635968 in words is "ten billion, eight hundred seventy-one million, six hundred thirty-five thousand, nine hundred sixty-eight".