51874804800 has 1008 divisors, whose sum is σ = 234426995712. Its totient is φ = 10583654400.

The previous prime is 51874804783. The next prime is 51874804847. The reversal of 51874804800 is 840847815.

51874804800 is a `hidden beast` number, since 51 + 87 + 48 + 0 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 40621762 + ... + 40623038.

It is an arithmetic number, because the mean of its divisors is an integer number (232566464).

Almost surely, 2^51874804800 is an apocalyptic number.

51874804800 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 51874804800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117213497856).

51874804800 is an abundant number, since it is smaller than the sum of its proper divisors (182552190912).

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

51874804800 is a wasteful number, since it uses less digits than its factorization.

51874804800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1356 (or 1338 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The spelling of 51874804800 in words is "fifty-one billion, eight hundred seventy-four million, eight hundred four thousand, eight hundred".