57155096889801 has 135 divisors (see below), whose sum is σ = 89255275346853. Its totient is φ = 36448144490880.

The previous prime is 57155096889799. The next prime is 57155096889833. The reversal of 57155096889801 is 10898869055175.

The square root of 57155096889801 is 7560099.

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

57155096889801 is a `hidden beast` number, since 5 + 7 + 1 + 550 + 9 + 68 + 8 + 9 + 8 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14257050774201 + 42898046115600 = 3775851^2 + 6549660^2 .

It is not a de Polignac number, because 57155096889801 - 2¹ = 57155096889799 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 57155096889801.

It is not an unprimeable number, because it can be changed into a prime (57155096889881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 183778446436 + ... + 183778446746.

Almost surely, 2^{57155096889801} is an apocalyptic number.

57155096889801 is the 7560099-th square number.

57155096889801 is the 3780050-th centered octagonal number.

It is an amenable number.

57155096889801 is a deficient number, since it is larger than the sum of its proper divisors (32100178457052).

57155096889801 is an frugal number, since it uses more digits than its factorization.

57155096889801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 217728000, while the sum is 72.

The spelling of 57155096889801 in words is "fifty-seven trillion, one hundred fifty-five billion, ninety-six million, eight hundred eighty-nine thousand, eight hundred one".