10887566976 has 768 divisors, whose sum is σ = 39697257600. Its totient is φ = 2817884160.

The previous prime is 10887566953. The next prime is 10887566981. The reversal of 10887566976 is 67966578801.

It is a super-2 number, since 2×10887566976² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 205425766 + ... + 205425818.

Almost surely, 2^10887566976 is an apocalyptic number.

10887566976 is a gapful number since it is divisible by the number (16) 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 10887566976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19848628800).

10887566976 is an abundant number, since it is smaller than the sum of its proper divisors (28809690624).

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

10887566976 is a wasteful number, since it uses less digits than its factorization.

10887566976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 10887566976 in words is "ten billion, eight hundred eighty-seven million, five hundred sixty-six thousand, nine hundred seventy-six".