51582560400 has 480 divisors, whose sum is σ = 220873164800. Its totient is φ = 11169446400.

The previous prime is 51582560353. The next prime is 51582560401. The reversal of 51582560400 is 406528515.

51582560400 is a `hidden beast` number, since 5 + 1 + 58 + 2 + 560 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (51582560401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1418445 + ... + 1454355.

Almost surely, 2^51582560400 is an apocalyptic number.

51582560400 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 51582560400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110436582400).

51582560400 is an abundant number, since it is smaller than the sum of its proper divisors (169290604400).

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

51582560400 is a wasteful number, since it uses less digits than its factorization.

51582560400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35964 (or 35947 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 51582560400 in words is "fifty-one billion, five hundred eighty-two million, five hundred sixty thousand, four hundred".