53199936000 has 640 divisors, whose sum is σ = 208204888320. Its totient is φ = 13344768000.

The previous prime is 53199935927. The next prime is 53199936001. The reversal of 53199936000 is 63999135.

53199936000 is a `hidden beast` number, since 5 + 31 + 9 + 9 + 9 + 3 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (53199936001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29375095 + ... + 29376905.

It is an arithmetic number, because the mean of its divisors is an integer number (325320138).

Almost surely, 2^53199936000 is an apocalyptic number.

53199936000 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 53199936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104102444160).

53199936000 is an abundant number, since it is smaller than the sum of its proper divisors (155004952320).

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

53199936000 is a wasteful number, since it uses less digits than its factorization.

53199936000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1870 (or 1838 counting only the distinct ones).

The product of its (nonzero) digits is 196830, while the sum is 45.

The spelling of 53199936000 in words is "fifty-three billion, one hundred ninety-nine million, nine hundred thirty-six thousand".