55719130401 has 81 divisors (see below), whose sum is σ = 92776841521. Its totient is φ = 32197083600.

The previous prime is 55719130381. The next prime is 55719130417. The reversal of 55719130401 is 10403191755.

It is a happy number.

The square root of 55719130401 is 236049.

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

55719130401 is a `hidden beast` number, since 55 + 71 + 9 + 130 + 401 = 666.

It is not a de Polignac number, because 55719130401 - 2⁹ = 55719129889 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (55719130451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 179161036 + ... + 179161346.

Almost surely, 2^55719130401 is an apocalyptic number.

55719130401 is the 236049-th square number.

55719130401 is the 118025-th centered octagonal number.

It is an amenable number.

55719130401 is a deficient number, since it is larger than the sum of its proper divisors (37057711120).

55719130401 is a wasteful number, since it uses less digits than its factorization.

55719130401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 36.

Multiplying 55719130401 by its sum of digits (36), we get a square (2005888694436 = 1416294²).

The spelling of 55719130401 in words is "fifty-five billion, seven hundred nineteen million, one hundred thirty thousand, four hundred one".