52264472832 has 1152 divisors, whose sum is σ = 201090355200. Its totient is φ = 13247815680.

The previous prime is 52264472791. The next prime is 52264472849. The reversal of 52264472832 is 23827446225.

52264472832 is a `hidden beast` number, since 522 + 6 + 4 + 47 + 2 + 83 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×52264472832² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2272368373 + ... + 2272368395.

It is an arithmetic number, because the mean of its divisors is an integer number (174557600).

Almost surely, 2^52264472832 is an apocalyptic number.

52264472832 is a gapful number since it is divisible by the number (52) 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 52264472832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100545177600).

52264472832 is an abundant number, since it is smaller than the sum of its proper divisors (148825882368).

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

52264472832 is a wasteful number, since it uses less digits than its factorization.

52264472832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 71 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 45.

The spelling of 52264472832 in words is "fifty-two billion, two hundred sixty-four million, four hundred seventy-two thousand, eight hundred thirty-two".