53188918159104 has 5184 divisors, whose sum is σ = 228779116675200. Its totient is φ = 11686329188352.

The previous prime is 53188918159081. The next prime is 53188918159163. The reversal of 53188918159104 is 40195181988135.

53188918159104 is a `hidden beast` number, since 5 + 31 + 8 + 8 + 9 + 1 + 8 + 1 + 591 + 0 + 4 = 666.

It is a super-2 number, since 2×53188918159104² (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 728615317212 + ... + 728615317284.

It is an arithmetic number, because the mean of its divisors is an integer number (44131774050).

Almost surely, 2^{53188918159104} 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 53188918159104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114389558337600).

53188918159104 is an abundant number, since it is smaller than the sum of its proper divisors (175590198516096).

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

53188918159104 is a wasteful number, since it uses less digits than its factorization.

53188918159104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 63.

The spelling of 53188918159104 in words is "fifty-three trillion, one hundred eighty-eight billion, nine hundred eighteen million, one hundred fifty-nine thousand, one hundred four".