53881667596800 has 720 divisors, whose sum is σ = 205374394697472. Its totient is φ = 13980078489600.

The previous prime is 53881667596747. The next prime is 53881667596859. The reversal of 53881667596800 is 869576618835.

It is a happy number.

53881667596800 is a `hidden beast` number, since 5 + 388 + 16 + 6 + 75 + 96 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 114850705 + ... + 115318895.

Almost surely, 2^{53881667596800} is an apocalyptic number.

53881667596800 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 53881667596800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102687197348736).

53881667596800 is an abundant number, since it is smaller than the sum of its proper divisors (151492727100672).

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

53881667596800 is an equidigital number, since it uses as much as digits as its factorization.

53881667596800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468271 (or 468238 counting only the distinct ones).

The product of its (nonzero) digits is 522547200, while the sum is 72.

The spelling of 53881667596800 in words is "fifty-three trillion, eight hundred eighty-one billion, six hundred sixty-seven million, five hundred ninety-six thousand, eight hundred".