57759863200081 has 27 divisors (see below), whose sum is σ = 69429364945353. Its totient is φ = 47910039264360.

The previous prime is 57759863200033. The next prime is 57759863200099. The reversal of 57759863200081 is 18000236895775.

The square root of 57759863200081 is 7599991.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 57759863200081 - 2²³ = 57759854811473 is a prime.

It is a super-2 number, since 2×57759863200081² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 57759863199992 and 57759863200019.

It is not an unprimeable number, because it can be changed into a prime (57759863200021) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1649180536 + ... + 1649215558.

It is an arithmetic number, because the mean of its divisors is an integer number (2571457960939).

Almost surely, 2^{57759863200081} is an apocalyptic number.

57759863200081 is the 7599991-st square number.

57759863200081 is the 3799996-th centered octagonal number.

It is an amenable number.

57759863200081 is a deficient number, since it is larger than the sum of its proper divisors (11669501745272).

57759863200081 is an frugal number, since it uses more digits than its factorization.

57759863200081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70122 (or 35061 counting only the distinct ones).

The product of its (nonzero) digits is 25401600, while the sum is 61.

The spelling of 57759863200081 in words is "fifty-seven trillion, seven hundred fifty-nine billion, eight hundred sixty-three million, two hundred thousand, eighty-one".