2597168785761 has 36 divisors (see below), whose sum is σ = 4201314452244. Its totient is φ = 1544342754240.

The previous prime is 2597168785721. The next prime is 2597168785777. The reversal of 2597168785761 is 1675878617952.

It can be written as a sum of positive squares in 2 ways, for example, as 1617526112400 + 979642673361 = 1271820^2 + 989769^2 .

It is not a de Polignac number, because 2597168785761 - 2³³ = 2588578851169 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2597168785761.

It is not an unprimeable number, because it can be changed into a prime (2597168785711) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 22441450 + ... + 22556883.

It is an arithmetic number, because the mean of its divisors is an integer number (116703179229).

Almost surely, 2^{2597168785761} is an apocalyptic number.

It is an amenable number.

2597168785761 is a deficient number, since it is larger than the sum of its proper divisors (1604145666483).

2597168785761 is a wasteful number, since it uses less digits than its factorization.

2597168785761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44998414 (or 44998400 counting only the distinct ones).

The product of its digits is 355622400, while the sum is 72.

The spelling of 2597168785761 in words is "two trillion, five hundred ninety-seven billion, one hundred sixty-eight million, seven hundred eighty-five thousand, seven hundred sixty-one".