53839900800 has 384 divisors, whose sum is σ = 225190051200. Its totient is φ = 12306124800.

The previous prime is 53839900771. The next prime is 53839900811. The reversal of 53839900800 is 800993835.

53839900800 is a `hidden beast` number, since 538 + 39 + 9 + 0 + 0 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 560290 + ... + 649310.

It is an arithmetic number, because the mean of its divisors is an integer number (586432425).

Almost surely, 2^53839900800 is an apocalyptic number.

53839900800 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 53839900800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112595025600).

53839900800 is an abundant number, since it is smaller than the sum of its proper divisors (171350150400).

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

53839900800 is a wasteful number, since it uses less digits than its factorization.

53839900800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89061 (or 89038 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 53839900800 in words is "fifty-three billion, eight hundred thirty-nine million, nine hundred thousand, eight hundred".