55309632400 has 135 divisors (see below), whose sum is σ = 146196471603. Its totient is φ = 20093779200.

The previous prime is 55309632337. The next prime is 55309632401. The reversal of 55309632400 is 423690355.

The square root of 55309632400 is 235180.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1663660944 + 53645971456 = 40788^2 + 231616^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 55309632400.

It is not an unprimeable number, because it can be changed into a prime (55309632401) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 51739066 + ... + 51740134.

Almost surely, 2^55309632400 is an apocalyptic number.

55309632400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

55309632400 is the 235180-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55309632400

55309632400 is an abundant number, since it is smaller than the sum of its proper divisors (90886839203).

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

55309632400 is a wasteful number, since it uses less digits than its factorization.

55309632400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2178 (or 1087 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 37.

The spelling of 55309632400 in words is "fifty-five billion, three hundred nine million, six hundred thirty-two thousand, four hundred".