57579755797575 has 36 divisors (see below), whose sum is σ = 112507353151128. Its totient is φ = 27917457355200.

The previous prime is 57579755797561. The next prime is 57579755797639.

57579755797575 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 57579755797575 - 2⁴ = 57579755797559 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11632271424 + ... + 11632276373.

It is an arithmetic number, because the mean of its divisors is an integer number (3125204254198).

Almost surely, 2^{57579755797575} is an apocalyptic number.

57579755797575 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

57579755797575 is a deficient number, since it is larger than the sum of its proper divisors (54927597353553).

57579755797575 is a wasteful number, since it uses less digits than its factorization.

57579755797575 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23264547824 (or 23264547816 counting only the distinct ones).

The product of its digits is 148899515625, while the sum is 90.

The spelling of 57579755797575 in words is "fifty-seven trillion, five hundred seventy-nine billion, seven hundred fifty-five million, seven hundred ninety-seven thousand, five hundred seventy-five".