11772052560 has 120 divisors (see below), whose sum is σ = 41860077480. Its totient is φ = 2954551296.

The previous prime is 11772052519. The next prime is 11772052651. The reversal of 11772052560 is 6525027711.

11772052560 is a `hidden beast` number, since 1 + 1 + 7 + 72 + 0 + 525 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6345078336 + 5426974224 = 79656^2 + 73668^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 468645 + ... + 493124.

It is an arithmetic number, because the mean of its divisors is an integer number (348833979).

Almost surely, 2^11772052560 is an apocalyptic number.

11772052560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11772052560 is an abundant number, since it is smaller than the sum of its proper divisors (30088024920).

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

11772052560 is a wasteful number, since it uses less digits than its factorization.

11772052560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 961805 (or 961796 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 36.

The spelling of 11772052560 in words is "eleven billion, seven hundred seventy-two million, fifty-two thousand, five hundred sixty".