52117759517184 has 240 divisors, whose sum is σ = 150703799875200. Its totient is φ = 17339302699008.

The previous prime is 52117759517101. The next prime is 52117759517227. The reversal of 52117759517184 is 48171595771125.

It is a happy number.

52117759517184 is a `hidden beast` number, since 5 + 2 + 1 + 17 + 7 + 595 + 17 + 18 + 4 = 666.

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, 9816866722 + ... + 9816872030.

It is an arithmetic number, because the mean of its divisors is an integer number (627932499480).

Almost surely, 2^{52117759517184} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52117759517184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75351899937600).

52117759517184 is an abundant number, since it is smaller than the sum of its proper divisors (98586040358016).

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

52117759517184 is a wasteful number, since it uses less digits than its factorization.

52117759517184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9015 (or 8996 counting only the distinct ones).

The product of its digits is 24696000, while the sum is 63.

The spelling of 52117759517184 in words is "fifty-two trillion, one hundred seventeen billion, seven hundred fifty-nine million, five hundred seventeen thousand, one hundred eighty-four".