10659962880 has 896 divisors, whose sum is σ = 46428111360. Its totient is φ = 2293235712.

The previous prime is 10659962879. The next prime is 10659962899. The reversal of 10659962880 is 8826995601.

It is a happy number.

10659962880 is a `hidden beast` number, since 1 + 0 + 6 + 5 + 9 + 9 + 628 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a super-2 number, since 2×10659962880² (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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 627056632 + ... + 627056648.

Almost surely, 2^10659962880 is an apocalyptic number.

10659962880 is a gapful number since it is divisible by the number (10) 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 10659962880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23214055680).

10659962880 is an abundant number, since it is smaller than the sum of its proper divisors (35768148480).

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

10659962880 is an frugal number, since it uses more digits than its factorization.

10659962880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 10659962880 in words is "ten billion, six hundred fifty-nine million, nine hundred sixty-two thousand, eight hundred eighty".