26560042560 has 140 divisors (see below), whose sum is σ = 94478836188. Its totient is φ = 7082671104.

The previous prime is 26560042549. The next prime is 26560042571. The reversal of 26560042560 is 6524006562.

26560042560 is a `hidden beast` number, since 2 + 6 + 5 + 600 + 42 + 5 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (26560042549) and next prime (26560042571).

It can be written as a sum of positive squares in 2 ways, for example, as 13089190464 + 13470852096 = 114408^2 + 116064^2 .

It is a super-2 number, since 2×26560042560² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 486427 + ... + 538266.

Almost surely, 2^26560042560 is an apocalyptic number.

26560042560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26560042560 is an abundant number, since it is smaller than the sum of its proper divisors (67918793628).

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

26560042560 is a wasteful number, since it uses less digits than its factorization.

26560042560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1024722 (or 1024703 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 26560042560 in words is "twenty-six billion, five hundred sixty million, forty-two thousand, five hundred sixty".