51175584086400 has 480 divisors, whose sum is σ = 189058240640280. Its totient is φ = 13631713689600.

The previous prime is 51175584086377. The next prime is 51175584086489. The reversal of 51175584086400 is 468048557115.

51175584086400 is a `hidden beast` number, since 5 + 1 + 1 + 7 + 558 + 4 + 0 + 86 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 234985560 + ... + 235203240.

Almost surely, 2^{51175584086400} is an apocalyptic number.

51175584086400 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 51175584086400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94529120320140).

51175584086400 is an abundant number, since it is smaller than the sum of its proper divisors (137882656553880).

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

51175584086400 is a wasteful number, since it uses less digits than its factorization.

51175584086400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218624 (or 218598 counting only the distinct ones).

The product of its (nonzero) digits is 5376000, while the sum is 54.

The spelling of 51175584086400 in words is "fifty-one trillion, one hundred seventy-five billion, five hundred eighty-four million, eighty-six thousand, four hundred".