10864659072 has 64 divisors (see below), whose sum is σ = 28877758560. Its totient is φ = 3619230720.

The previous prime is 10864659053. The next prime is 10864659079. The reversal of 10864659072 is 27095646801.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×10864659072³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (10864659079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 653422 + ... + 669842.

Almost surely, 2^10864659072 is an apocalyptic number.

10864659072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10864659072 is an abundant number, since it is smaller than the sum of its proper divisors (18013099488).

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

10864659072 is a wasteful number, since it uses less digits than its factorization.

10864659072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18161 (or 18149 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 10864659072 in words is "ten billion, eight hundred sixty-four million, six hundred fifty-nine thousand, seventy-two".