10572282864 has 320 divisors, whose sum is σ = 37752583680. Its totient is φ = 2783047680.

The previous prime is 10572282859. The next prime is 10572282913. The reversal of 10572282864 is 46828227501.

10572282864 is a `hidden beast` number, since 10 + 572 + 2 + 8 + 2 + 8 + 64 = 666.

10572282864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10572282864² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1045159 + ... + 1055225.

It is an arithmetic number, because the mean of its divisors is an integer number (117976824).

Almost surely, 2^10572282864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10572282864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18876291840).

10572282864 is an abundant number, since it is smaller than the sum of its proper divisors (27180300816).

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

10572282864 is a wasteful number, since it uses less digits than its factorization.

10572282864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10125 (or 10113 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 10572282864 in words is "ten billion, five hundred seventy-two million, two hundred eighty-two thousand, eight hundred sixty-four".