51418837747200 has 960 divisors, whose sum is σ = 212957432709120. Its totient is φ = 10624634880000.

The previous prime is 51418837747177. The next prime is 51418837747213. The reversal of 51418837747200 is 274773881415.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×51418837747200² (a number of 28 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 529218625 + ... + 529315775.

It is an arithmetic number, because the mean of its divisors is an integer number (221830659072).

Almost surely, 2^{51418837747200} is an apocalyptic number.

51418837747200 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 51418837747200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106478716354560).

51418837747200 is an abundant number, since it is smaller than the sum of its proper divisors (161538594961920).

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

51418837747200 is a wasteful number, since it uses less digits than its factorization.

51418837747200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97379 (or 97358 counting only the distinct ones).

The product of its (nonzero) digits is 10536960, while the sum is 57.

The spelling of 51418837747200 in words is "fifty-one trillion, four hundred eighteen billion, eight hundred thirty-seven million, seven hundred forty-seven thousand, two hundred".