2605757715560 has 128 divisors (see below), whose sum is σ = 6145830961920. Its totient is φ = 992433733632.

The previous prime is 2605757715559. The next prime is 2605757715569. The reversal of 2605757715560 is 655177575062.

It is a super-2 number, since 2×2605757715560² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (56) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2605757715496 and 2605757715505.

It is not an unprimeable number, because it can be changed into a prime (2605757715569) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 479261162 + ... + 479266598.

It is an arithmetic number, because the mean of its divisors is an integer number (48014304390).

Almost surely, 2^{2605757715560} is an apocalyptic number.

2605757715560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2605757715560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3072915480960).

2605757715560 is an abundant number, since it is smaller than the sum of its proper divisors (3540073246360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2605757715560 is a wasteful number, since it uses less digits than its factorization.

2605757715560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7755 (or 7751 counting only the distinct ones).

The product of its (nonzero) digits is 15435000, while the sum is 56.

The spelling of 2605757715560 in words is "two trillion, six hundred five billion, seven hundred fifty-seven million, seven hundred fifteen thousand, five hundred sixty".