10576081152 has 432 divisors, whose sum is σ = 38099571328. Its totient is φ = 2747105280.

The previous prime is 10576081133. The next prime is 10576081181. The reversal of 10576081152 is 25118067501.

10576081152 is a `hidden beast` number, since 1 + 0 + 576 + 0 + 81 + 1 + 5 + 2 = 666.

It is a super-2 number, since 2×10576081152² (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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15305127 + ... + 15305817.

Almost surely, 2^10576081152 is an apocalyptic number.

10576081152 is a gapful number since it is divisible by the number (12) 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 10576081152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19049785664).

10576081152 is an abundant number, since it is smaller than the sum of its proper divisors (27523490176).

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

10576081152 is a wasteful number, since it uses less digits than its factorization.

10576081152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 36.

The spelling of 10576081152 in words is "ten billion, five hundred seventy-six million, eighty-one thousand, one hundred fifty-two".