57554677645575 has 48 divisors (see below), whose sum is σ = 104468905335936. Its totient is φ = 27727557436800.

The previous prime is 57554677645537. The next prime is 57554677645603.

57554677645575 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 57554677645575 - 2¹⁰ = 57554677644551 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 57554677645575.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 222046417 + ... + 222305466.

It is an arithmetic number, because the mean of its divisors is an integer number (2176435527832).

Almost surely, 2^{57554677645575} is an apocalyptic number.

57554677645575 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

57554677645575 is a deficient number, since it is larger than the sum of its proper divisors (46914227690361).

57554677645575 is a wasteful number, since it uses less digits than its factorization.

57554677645575 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444352064 (or 444352059 counting only the distinct ones).

The product of its digits is 21609000000, while the sum is 78.

The spelling of 57554677645575 in words is "fifty-seven trillion, five hundred fifty-four billion, six hundred seventy-seven million, six hundred forty-five thousand, five hundred seventy-five".