55624279104 has 189 divisors, whose sum is σ = 165267330501. Its totient is φ = 17886712320.

The previous prime is 55624279099. The next prime is 55624279127. The reversal of 55624279104 is 40197242655.

The square root of 55624279104 is 235848.

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

55624279104 is a `hidden beast` number, since 5 + 5 + 624 + 2 + 7 + 9 + 10 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3113640000 + 52510639104 = 55800^2 + 229152^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 55624279104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 175470754 + ... + 175471070.

Almost surely, 2^55624279104 is an apocalyptic number.

55624279104 is the 235848-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55624279104

55624279104 is an abundant number, since it is smaller than the sum of its proper divisors (109643051397).

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

55624279104 is an equidigital number, since it uses as much as digits as its factorization.

55624279104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 55624279104 in words is "fifty-five billion, six hundred twenty-four million, two hundred seventy-nine thousand, one hundred four".