26040007656 has 160 divisors (see below), whose sum is σ = 79495083360. Its totient is φ = 7915563648.

The previous prime is 26040007627. The next prime is 26040007663. The reversal of 26040007656 is 65670004062.

It is a super-2 number, since 2×26040007656² (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 a self number, because there is not a number n which added to its sum of digits gives 26040007656.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 680571 + ... + 717813.

It is an arithmetic number, because the mean of its divisors is an integer number (496844271).

Almost surely, 2^26040007656 is an apocalyptic number.

26040007656 is a gapful number since it is divisible by the number (26) 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 26040007656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39747541680).

26040007656 is an abundant number, since it is smaller than the sum of its proper divisors (53455075704).

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

26040007656 is a wasteful number, since it uses less digits than its factorization.

26040007656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37357 (or 37344 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 26040007656 in words is "twenty-six billion, forty million, seven thousand, six hundred fifty-six".