55974828100 has 81 divisors (see below), whose sum is σ = 123867901591. Its totient is φ = 21955552000.

The previous prime is 55974828061. The next prime is 55974828103. The reversal of 55974828100 is 182847955.

It is a happy number.

The square root of 55974828100 is 236590.

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 14973437956 + 41001390144 = 122366^2 + 202488^2 .

It is a super-2 number, since 2×55974828100² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (55974828103) 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, 139587900 + ... + 139588300.

Almost surely, 2^55974828100 is an apocalyptic number.

55974828100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

55974828100 is the 236590-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55974828100

55974828100 is an abundant number, since it is smaller than the sum of its proper divisors (67893073491).

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

55974828100 is an equidigital number, since it uses as much as digits as its factorization.

55974828100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 934 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 49.

Multiplying 55974828100 by its sum of digits (49), we get a square (2742766576900 = 1656130²).

The spelling of 55974828100 in words is "fifty-five billion, nine hundred seventy-four million, eight hundred twenty-eight thousand, one hundred".