51577398432 has 720 divisors, whose sum is σ = 187361354880. Its totient is φ = 13795778304.

The previous prime is 51577398413. The next prime is 51577398451. The reversal of 51577398432 is 23489377515.

51577398432 is a `hidden beast` number, since 5 + 1 + 57 + 73 + 98 + 432 = 666.

It is an interprime number because it is at equal distance from previous prime (51577398413) and next prime (51577398451).

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

Its product of digits (6350400) is a multiple of the sum of its prime factors (140).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1097391433 + ... + 1097391479.

It is an arithmetic number, because the mean of its divisors is an integer number (260224104).

Almost surely, 2^51577398432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51577398432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93680677440).

51577398432 is an abundant number, since it is smaller than the sum of its proper divisors (135783956448).

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

51577398432 is an equidigital number, since it uses as much as digits as its factorization.

51577398432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 82 counting only the distinct ones).

The product of its digits is 6350400, while the sum is 54.

The spelling of 51577398432 in words is "fifty-one billion, five hundred seventy-seven million, three hundred ninety-eight thousand, four hundred thirty-two".