53350977888000 has 1440 divisors, whose sum is σ = 218785711015872. Its totient is φ = 12826791936000.

The previous prime is 53350977887971. The next prime is 53350977888023. The reversal of 53350977888000 is 88877905335.

53350977888000 is a `hidden beast` number, since 53 + 3 + 509 + 7 + 78 + 8 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1448909590 + ... + 1448946410.

Almost surely, 2^{53350977888000} is an apocalyptic number.

53350977888000 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 53350977888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109392855507936).

53350977888000 is an abundant number, since it is smaller than the sum of its proper divisors (165434733127872).

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

53350977888000 is a wasteful number, since it uses less digits than its factorization.

53350977888000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36920 (or 36887 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 63.

The spelling of 53350977888000 in words is "fifty-three trillion, three hundred fifty billion, nine hundred seventy-seven million, eight hundred eighty-eight thousand".