51457215877200 has 1080 divisors, whose sum is σ = 222001326398592. Its totient is φ = 10966263275520.

The previous prime is 51457215877181. The next prime is 51457215877211. The reversal of 51457215877200 is 277851275415.

51457215877200 is a `hidden beast` number, since 5 + 1 + 4 + 57 + 2 + 1 + 587 + 7 + 2 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 320791417 + ... + 320951783.

Almost surely, 2^{51457215877200} is an apocalyptic number.

51457215877200 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 51457215877200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111000663199296).

51457215877200 is an abundant number, since it is smaller than the sum of its proper divisors (170544110521392).

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

51457215877200 is a wasteful number, since it uses less digits than its factorization.

51457215877200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160529 (or 160508 counting only the distinct ones).

The product of its (nonzero) digits is 5488000, while the sum is 54.

The spelling of 51457215877200 in words is "fifty-one trillion, four hundred fifty-seven billion, two hundred fifteen million, eight hundred seventy-seven thousand, two hundred".