51158415974400 has 3360 divisors, whose sum is σ = 227915525270400. Its totient is φ = 11377315676160.

The previous prime is 51158415974387. The next prime is 51158415974423. The reversal of 51158415974400 is 447951485115.

It is a happy number.

51158415974400 is a `hidden beast` number, since 5 + 1 + 1 + 5 + 8 + 4 + 1 + 597 + 4 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1382659891182 + ... + 1382659891218.

Almost surely, 2^{51158415974400} is an apocalyptic number.

51158415974400 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 51158415974400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113957762635200).

51158415974400 is an abundant number, since it is smaller than the sum of its proper divisors (176757109296000).

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

51158415974400 is an frugal number, since it uses more digits than its factorization.

51158415974400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 4032000, while the sum is 54.

The spelling of 51158415974400 in words is "fifty-one trillion, one hundred fifty-eight billion, four hundred fifteen million, nine hundred seventy-four thousand, four hundred".