51167406326400 has 7680 divisors, whose sum is σ = 263279149056000. Its totient is φ = 9481096396800.

The previous prime is 51167406326263. The next prime is 51167406326447. The reversal of 51167406326400 is 462360476115.

51167406326400 is a `hidden beast` number, since 5 + 1 + 1 + 6 + 7 + 4 + 0 + 632 + 6 + 4 + 0 + 0 = 666.

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 959 ways as a sum of consecutive naturals, for example, 402892963137 + ... + 402892963263.

It is an arithmetic number, because the mean of its divisors is an integer number (34281139200).

Almost surely, 2^{51167406326400} is an apocalyptic number.

51167406326400 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 51167406326400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131639574528000).

51167406326400 is an abundant number, since it is smaller than the sum of its proper divisors (212111742729600).

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

51167406326400 is a wasteful number, since it uses less digits than its factorization.

51167406326400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 51167406326400 in words is "fifty-one trillion, one hundred sixty-seven billion, four hundred six million, three hundred twenty-six thousand, four hundred".