10572277560 has 512 divisors, whose sum is σ = 37809192960. Its totient is φ = 2341011456.

The previous prime is 10572277523. The next prime is 10572277561. The reversal of 10572277560 is 6577227501.

It is a super-2 number, since 2×10572277560² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10572277561) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 83246217 + ... + 83246343.

It is an arithmetic number, because the mean of its divisors is an integer number (73846080).

Almost surely, 2^10572277560 is an apocalyptic number.

10572277560 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 10572277560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18904596480).

10572277560 is an abundant number, since it is smaller than the sum of its proper divisors (27236915400).

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

10572277560 is a wasteful number, since it uses less digits than its factorization.

10572277560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 205800, while the sum is 42.

The spelling of 10572277560 in words is "ten billion, five hundred seventy-two million, two hundred seventy-seven thousand, five hundred sixty".