51553958400 has 540 divisors, whose sum is σ = 214642907622. Its totient is φ = 11782471680.

The previous prime is 51553958383. The next prime is 51553958411. The reversal of 51553958400 is 485935515.

51553958400 is a `hidden beast` number, since 5 + 1 + 553 + 9 + 58 + 40 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 44666286336 + 6887672064 = 211344^2 + 82992^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 53 ways as a sum of consecutive naturals, for example, 5640234 + ... + 5649366.

Almost surely, 2^51553958400 is an apocalyptic number.

51553958400 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 51553958400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107321453811).

51553958400 is an abundant number, since it is smaller than the sum of its proper divisors (163088949222).

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

51553958400 is a wasteful number, since it uses less digits than its factorization.

51553958400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9181 (or 9150 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 45.

The spelling of 51553958400 in words is "fifty-one billion, five hundred fifty-three million, nine hundred fifty-eight thousand, four hundred".