51125872550400 has 960 divisors, whose sum is σ = 192923016422400. Its totient is φ = 13251717365760.

The previous prime is 51125872550393. The next prime is 51125872550447. The reversal of 51125872550400 is 405527852115.

It is a happy number.

51125872550400 is a `hidden beast` number, since 5 + 1 + 1 + 2 + 58 + 7 + 2 + 550 + 40 + 0 = 666.

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

It is a super-2 number, since 2×51125872550400² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 22492683664 + ... + 22492685936.

It is an arithmetic number, because the mean of its divisors is an integer number (200961475440).

Almost surely, 2^{51125872550400} is an apocalyptic number.

51125872550400 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 51125872550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96461508211200).

51125872550400 is an abundant number, since it is smaller than the sum of its proper divisors (141797143872000).

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

51125872550400 is a wasteful number, since it uses less digits than its factorization.

51125872550400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4106 (or 4079 counting only the distinct ones).

The product of its (nonzero) digits is 560000, while the sum is 45.

The spelling of 51125872550400 in words is "fifty-one trillion, one hundred twenty-five billion, eight hundred seventy-two million, five hundred fifty thousand, four hundred".