10659733056 has 224 divisors, whose sum is σ = 35967375360. Its totient is φ = 3032640000.

The previous prime is 10659733037. The next prime is 10659733069. The reversal of 10659733056 is 65033795601.

10659733056 is a `hidden beast` number, since 1 + 0 + 6 + 597 + 3 + 3 + 0 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×10659733056² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3034341 + ... + 3037851.

It is an arithmetic number, because the mean of its divisors is an integer number (160568640).

Almost surely, 2^10659733056 is an apocalyptic number.

10659733056 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 10659733056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17983687680).

10659733056 is an abundant number, since it is smaller than the sum of its proper divisors (25307642304).

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

10659733056 is a wasteful number, since it uses less digits than its factorization.

10659733056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3790 (or 3774 counting only the distinct ones).

The product of its (nonzero) digits is 510300, while the sum is 45.

The spelling of 10659733056 in words is "ten billion, six hundred fifty-nine million, seven hundred thirty-three thousand, fifty-six".