53837272800 has 864 divisors, whose sum is σ = 210652329888. Its totient is φ = 12881756160.

The previous prime is 53837272781. The next prime is 53837272829. The reversal of 53837272800 is 827273835.

53837272800 is a `hidden beast` number, since 538 + 37 + 2 + 7 + 2 + 80 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 278949504 + ... + 278949696.

It is an arithmetic number, because the mean of its divisors is an integer number (243810567).

Almost surely, 2^53837272800 is an apocalyptic number.

53837272800 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 53837272800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105326164944).

53837272800 is an abundant number, since it is smaller than the sum of its proper divisors (156815057088).

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

53837272800 is a wasteful number, since it uses less digits than its factorization.

53837272800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 53837272800 in words is "fifty-three billion, eight hundred thirty-seven million, two hundred seventy-two thousand, eight hundred".