26505102456 has 48 divisors (see below), whose sum is σ = 82039604400. Its totient is φ = 7572886272.

The previous prime is 26505102451. The next prime is 26505102461. The reversal of 26505102456 is 65420150562.

26505102456 is a `hidden beast` number, since 2 + 6 + 505 + 102 + 45 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (26505102451) and next prime (26505102461).

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

It is a self number, because there is not a number n which added to its sum of digits gives 26505102456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26505102451) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26294241 + ... + 26295248.

It is an arithmetic number, because the mean of its divisors is an integer number (1709158425).

Almost surely, 2^26505102456 is an apocalyptic number.

It is an amenable number.

26505102456 is an abundant number, since it is smaller than the sum of its proper divisors (55534501944).

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

26505102456 is a wasteful number, since it uses less digits than its factorization.

26505102456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52589508 (or 52589501 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 26505102456 in words is "twenty-six billion, five hundred five million, one hundred two thousand, four hundred fifty-six".