51310720144800 has 720 divisors, whose sum is σ = 194158632552192. Its totient is φ = 13172767948800.

The previous prime is 51310720144771. The next prime is 51310720144819. The reversal of 51310720144800 is 844102701315.

51310720144800 is a `hidden beast` number, since 5 + 1 + 3 + 1 + 0 + 7 + 201 + 448 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 387632227 + ... + 387764573.

Almost surely, 2^{51310720144800} is an apocalyptic number.

51310720144800 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 51310720144800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97079316276096).

51310720144800 is an abundant number, since it is smaller than the sum of its proper divisors (142847912407392).

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

51310720144800 is a wasteful number, since it uses less digits than its factorization.

51310720144800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132603 (or 132581 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 51310720144800 in words is "fifty-one trillion, three hundred ten billion, seven hundred twenty million, one hundred forty-four thousand, eight hundred".