2608771565160 has 320 divisors, whose sum is σ = 9007841137680. Its totient is φ = 676769955840.

The previous prime is 2608771565143. The next prime is 2608771565173. The reversal of 2608771565160 is 615651778062.

It is a happy number.

2608771565160 is a `hidden beast` number, since 2 + 6 + 0 + 8 + 7 + 71 + 56 + 516 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 64752945156 + 2544018620004 = 254466^2 + 1594998^2 .

It is a super-2 number, since 2×2608771565160² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2608771565097 and 2608771565106.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 46864704 + ... + 46920336.

Almost surely, 2^{2608771565160} is an apocalyptic number.

2608771565160 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 2608771565160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4503920568840).

2608771565160 is an abundant number, since it is smaller than the sum of its proper divisors (6399069572520).

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

2608771565160 is a wasteful number, since it uses less digits than its factorization.

2608771565160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56050 (or 56037 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 2608771565160 in words is "two trillion, six hundred eight billion, seven hundred seventy-one million, five hundred sixty-five thousand, one hundred sixty".