10515085056 has 432 divisors, whose sum is σ = 36253561344. Its totient is φ = 2868535296.

The previous prime is 10515084997. The next prime is 10515085069. The reversal of 10515085056 is 65058051501.

10515085056 is a `hidden beast` number, since 1 + 0 + 51 + 508 + 50 + 56 = 666.

It is a super-2 number, since 2×10515085056² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10515085056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39981181 + ... + 39981443.

Almost surely, 2^10515085056 is an apocalyptic number.

10515085056 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 10515085056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18126780672).

10515085056 is an abundant number, since it is smaller than the sum of its proper divisors (25738476288).

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

10515085056 is a wasteful number, since it uses less digits than its factorization.

10515085056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 30000, while the sum is 36.

The spelling of 10515085056 in words is "ten billion, five hundred fifteen million, eighty-five thousand, fifty-six".