10572516864 has 480 divisors, whose sum is σ = 39560801280. Its totient is φ = 2639609856.

The previous prime is 10572516847. The next prime is 10572516893. The reversal of 10572516864 is 46861527501.

10572516864 is a `hidden beast` number, since 1 + 0 + 5 + 72 + 516 + 8 + 64 = 666.

It is a super-2 number, since 2×10572516864² (a number of 21 digits) contains 22 as substring.

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, 7966569 + ... + 7967895.

It is an arithmetic number, because the mean of its divisors is an integer number (82418336).

Almost surely, 2^10572516864 is an apocalyptic number.

10572516864 is a gapful number since it is divisible by the number (14) 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 10572516864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19780400640).

10572516864 is an abundant number, since it is smaller than the sum of its proper divisors (28988284416).

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

10572516864 is a wasteful number, since it uses less digits than its factorization.

10572516864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1390 (or 1371 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 10572516864 in words is "ten billion, five hundred seventy-two million, five hundred sixteen thousand, eight hundred sixty-four".