55980033201 has 81 divisors (see below), whose sum is σ = 88471780761. Its totient is φ = 35416330488.

The previous prime is 55980033181. The next prime is 55980033223. The reversal of 55980033201 is 10233008955.

The square root of 55980033201 is 236601.

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

55980033201 is a `hidden beast` number, since 559 + 80 + 0 + 3 + 3 + 20 + 1 = 666.

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 55980033201 - 2¹³ = 55980025009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (55980033701) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 440787600 + ... + 440787726.

Almost surely, 2^55980033201 is an apocalyptic number.

55980033201 is the 236601-st square number.

55980033201 is the 118301-st centered octagonal number.

It is an amenable number.

55980033201 is a deficient number, since it is larger than the sum of its proper divisors (32491747560).

55980033201 is an frugal number, since it uses more digits than its factorization.

55980033201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

Multiplying 55980033201 by its sum of digits (36), we get a square (2015281195236 = 1419606²).

The spelling of 55980033201 in words is "fifty-five billion, nine hundred eighty million, thirty-three thousand, two hundred one".