53813055015360 has 896 divisors, whose sum is σ = 208063483084800. Its totient is φ = 13045764096000.

The previous prime is 53813055015347. The next prime is 53813055015439. The reversal of 53813055015360 is 6351055031835.

53813055015360 is a `hidden beast` number, since 5 + 3 + 8 + 1 + 30 + 5 + 501 + 53 + 60 = 666.

It is a hoax number, since the sum of its digits (45) 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 (45).

It is a congruent number.

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, 410498625 + ... + 410629695.

It is an arithmetic number, because the mean of its divisors is an integer number (232213708800).

Almost surely, 2^{53813055015360} 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 53813055015360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104031741542400).

53813055015360 is an abundant number, since it is smaller than the sum of its proper divisors (154250428069440).

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

53813055015360 is a wasteful number, since it uses less digits than its factorization.

53813055015360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131218 (or 131202 counting only the distinct ones).

The product of its (nonzero) digits is 810000, while the sum is 45.

The spelling of 53813055015360 in words is "fifty-three trillion, eight hundred thirteen billion, fifty-five million, fifteen thousand, three hundred sixty".