57505400450575 has 48 divisors (see below), whose sum is σ = 88935322846464. Its totient is φ = 35834027443200.

The previous prime is 57505400450569. The next prime is 57505400450593.

It is a happy number.

57505400450575 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 57505400450575 - 2¹⁵ = 57505400417807 is a prime.

It is a Duffinian number.

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, 506829 + ... + 10736278.

It is an arithmetic number, because the mean of its divisors is an integer number (1852819225968).

Almost surely, 2^{57505400450575} is an apocalyptic number.

57505400450575 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

57505400450575 is a deficient number, since it is larger than the sum of its proper divisors (31429922395889).

57505400450575 is a wasteful number, since it uses less digits than its factorization.

57505400450575 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11245792 (or 11245787 counting only the distinct ones).

The product of its (nonzero) digits is 12250000, while the sum is 52.

It can be divided in two parts, 57505400 and 450575, that added together give a palindrome (57955975).

The spelling of 57505400450575 in words is "fifty-seven trillion, five hundred five billion, four hundred million, four hundred fifty thousand, five hundred seventy-five".