51357600 has 216 divisors, whose sum is σ = 207174240. Its totient is φ = 11727360.

The previous prime is 51357587. The next prime is 51357623. The reversal of 51357600 is 675315.

51357600 is a `hidden beast` number, since 5 + 1 + 3 + 57 + 600 = 666.

51357600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 35 ways as a sum of consecutive naturals, for example, 49891 + ... + 50909.

It is an arithmetic number, because the mean of its divisors is an integer number (959140).

Almost surely, 2^51357600 is an apocalyptic number.

51357600 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 51357600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103587120).

51357600 is an abundant number, since it is smaller than the sum of its proper divisors (155816640).

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

51357600 is a wasteful number, since it uses less digits than its factorization.

51357600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 51357600 is about 7166.4217012397. The cubic root of 51357600 is about 371.7077135207.

The spelling of 51357600 in words is "fifty-one million, three hundred fifty-seven thousand, six hundred".