10965052656 has 120 divisors (see below), whose sum is σ = 32769509760. Its totient is φ = 3415104000.

The previous prime is 10965052643. The next prime is 10965052663. The reversal of 10965052656 is 65625056901.

10965052656 is a `hidden beast` number, since 1 + 0 + 96 + 505 + 2 + 6 + 56 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87106 + ... + 171806.

It is an arithmetic number, because the mean of its divisors is an integer number (273079248).

Almost surely, 2^10965052656 is an apocalyptic number.

10965052656 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 10965052656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16384754880).

10965052656 is an abundant number, since it is smaller than the sum of its proper divisors (21804457104).

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

10965052656 is a wasteful number, since it uses less digits than its factorization.

10965052656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84775 (or 84766 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

The spelling of 10965052656 in words is "ten billion, nine hundred sixty-five million, fifty-two thousand, six hundred fifty-six".