53511814255104 has 720 divisors, whose sum is σ = 168380705132640. Its totient is φ = 16303226880000.

The previous prime is 53511814255013. The next prime is 53511814255117. The reversal of 53511814255104 is 40155241811535.

53511814255104 is a `hidden beast` number, since 5 + 3 + 5 + 11 + 81 + 4 + 2 + 551 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 53511814255104.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 33052386007 + ... + 33052387625.

It is an arithmetic number, because the mean of its divisors is an integer number (233862090462).

Almost surely, 2^{53511814255104} 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 53511814255104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84190352566320).

53511814255104 is an abundant number, since it is smaller than the sum of its proper divisors (114868890877536).

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

53511814255104 is a wasteful number, since it uses less digits than its factorization.

53511814255104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1993 (or 1933 counting only the distinct ones).

The product of its (nonzero) digits is 480000, while the sum is 45.

The spelling of 53511814255104 in words is "fifty-three trillion, five hundred eleven billion, eight hundred fourteen million, two hundred fifty-five thousand, one hundred four".