57465400456475 has 24 divisors (see below), whose sum is σ = 78448179746640. Its totient is φ = 41409596304000.

The previous prime is 57465400456441. The next prime is 57465400456517.

57465400456475 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-57465400456475 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 958525496 + ... + 958585445.

It is an arithmetic number, because the mean of its divisors is an integer number (3268674156110).

Almost surely, 2^{57465400456475} is an apocalyptic number.

57465400456475 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

57465400456475 is a deficient number, since it is larger than the sum of its proper divisors (20982779290165).

57465400456475 is a wasteful number, since it uses less digits than its factorization.

57465400456475 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1917111071 (or 1917111066 counting only the distinct ones).

The product of its (nonzero) digits is 282240000, while the sum is 62.

The spelling of 57465400456475 in words is "fifty-seven trillion, four hundred sixty-five billion, four hundred million, four hundred fifty-six thousand, four hundred seventy-five".