53711420400 has 360 divisors, whose sum is σ = 208073813376. Its totient is φ = 12717734400.

The previous prime is 53711420393. The next prime is 53711420419. The reversal of 53711420400 is 402411735.

53711420400 is a `hidden beast` number, since 53 + 71 + 142 + 0 + 400 = 666.

53711420400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

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, 1687029 + ... + 1718571.

Almost surely, 2^53711420400 is an apocalyptic number.

53711420400 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 53711420400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104036906688).

53711420400 is an abundant number, since it is smaller than the sum of its proper divisors (154362392976).

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

53711420400 is a wasteful number, since it uses less digits than its factorization.

53711420400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31621 (or 31607 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The spelling of 53711420400 in words is "fifty-three billion, seven hundred eleven million, four hundred twenty thousand, four hundred".