52617213792000 has 2016 divisors, whose sum is σ = 230896196346816. Its totient is φ = 11773734912000.

The previous prime is 52617213791999. The next prime is 52617213792023. The reversal of 52617213792000 is 29731271625.

It is a happy number.

52617213792000 is a `hidden beast` number, since 5 + 2 + 6 + 1 + 72 + 1 + 379 + 200 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 3335896114 + ... + 3335911886.

It is an arithmetic number, because the mean of its divisors is an integer number (114531843426).

Almost surely, 2^{52617213792000} is an apocalyptic number.

52617213792000 is a gapful number since it is divisible by the number (50) 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 52617213792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115448098173408).

52617213792000 is an abundant number, since it is smaller than the sum of its proper divisors (178278982554816).

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

52617213792000 is a wasteful number, since it uses less digits than its factorization.

52617213792000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15846 (or 15807 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 52617213792000 in words is "fifty-two trillion, six hundred seventeen billion, two hundred thirteen million, seven hundred ninety-two thousand".