10576074960 has 320 divisors, whose sum is σ = 41113440000. Its totient is φ = 2475325440.

The previous prime is 10576074959. The next prime is 10576074991. The reversal of 10576074960 is 6947067501.

It is a happy number.

10576074960 is a `hidden beast` number, since 1 + 0 + 576 + 0 + 74 + 9 + 6 + 0 = 666.

It is a super-2 number, since 2×10576074960² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 681366 + ... + 696714.

It is an arithmetic number, because the mean of its divisors is an integer number (128479500).

Almost surely, 2^10576074960 is an apocalyptic number.

10576074960 is a gapful number since it is divisible by the number (10) 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 10576074960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20556720000).

10576074960 is an abundant number, since it is smaller than the sum of its proper divisors (30537365040).

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

10576074960 is a wasteful number, since it uses less digits than its factorization.

10576074960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15411 (or 15399 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 10576074960 in words is "ten billion, five hundred seventy-six million, seventy-four thousand, nine hundred sixty".