51295384166400 has 2688 divisors, whose sum is σ = 220103219635200. Its totient is φ = 11573762457600.

The previous prime is 51295384166339. The next prime is 51295384166407. The reversal of 51295384166400 is 466148359215.

51295384166400 is a `hidden beast` number, since 5 + 1 + 2 + 9 + 538 + 4 + 1 + 66 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51295384166407) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 116845977381 + ... + 116845977819.

Almost surely, 2^{51295384166400} is an apocalyptic number.

51295384166400 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 51295384166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110051609817600).

51295384166400 is an abundant number, since it is smaller than the sum of its proper divisors (168807835468800).

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

51295384166400 is a wasteful number, since it uses less digits than its factorization.

51295384166400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 51295384166400 in words is "fifty-one trillion, two hundred ninety-five billion, three hundred eighty-four million, one hundred sixty-six thousand, four hundred".