57345406367557 has 64 divisors (see below), whose sum is σ = 75378169128960. Its totient is φ = 42265628409600.

The previous prime is 57345406367507. The next prime is 57345406367567. The reversal of 57345406367557 is 75576360454375.

57345406367557 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 57345406367557 - 2¹¹ = 57345406365509 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 57345406367492 and 57345406367501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57345406367507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3972106543 + ... + 3972120979.

It is an arithmetic number, because the mean of its divisors is an integer number (1177783892640).

Almost surely, 2^{57345406367557} is an apocalyptic number.

It is an amenable number.

57345406367557 is a deficient number, since it is larger than the sum of its proper divisors (18032762761403).

57345406367557 is a wasteful number, since it uses less digits than its factorization.

57345406367557 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18602.

The product of its (nonzero) digits is 1111320000, while the sum is 67.

The spelling of 57345406367557 in words is "fifty-seven trillion, three hundred forty-five billion, four hundred six million, three hundred sixty-seven thousand, five hundred fifty-seven".