10522772688960 has 504 divisors, whose sum is σ = 42406150026240. Its totient is φ = 2387897100288.

The previous prime is 10522772688881. The next prime is 10522772688973. The reversal of 10522772688960 is 6988627722501.

10522772688960 is a `hidden beast` number, since 1 + 0 + 522 + 7 + 7 + 26 + 8 + 89 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×10522772688960² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19347457 + ... + 19883903.

It is an arithmetic number, because the mean of its divisors is an integer number (84139186560).

Almost surely, 2^{10522772688960} is an apocalyptic number.

10522772688960 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 10522772688960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21203075013120).

10522772688960 is an abundant number, since it is smaller than the sum of its proper divisors (31883377337280).

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

10522772688960 is a wasteful number, since it uses less digits than its factorization.

10522772688960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536623 (or 536603 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 10522772688960 in words is "ten trillion, five hundred twenty-two billion, seven hundred seventy-two million, six hundred eighty-eight thousand, nine hundred sixty".