51315614557400 has 384 divisors, whose sum is σ = 128610205920000. Its totient is φ = 18973340467200.

The previous prime is 51315614557399. The next prime is 51315614557421. The reversal of 51315614557400 is 475541651315.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25670641601 + ... + 25670643599.

It is an arithmetic number, because the mean of its divisors is an integer number (334922411250).

Almost surely, 2^{51315614557400} is an apocalyptic number.

51315614557400 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 51315614557400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64305102960000).

51315614557400 is an abundant number, since it is smaller than the sum of its proper divisors (77294591362600).

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

51315614557400 is a wasteful number, since it uses less digits than its factorization.

51315614557400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2687 (or 2678 counting only the distinct ones).

The product of its (nonzero) digits is 1260000, while the sum is 47.

The spelling of 51315614557400 in words is "fifty-one trillion, three hundred fifteen billion, six hundred fourteen million, five hundred fifty-seven thousand, four hundred".