26507658240 has 880 divisors, whose sum is σ = 113563498752. Its totient is φ = 5780865024.

The previous prime is 26507658211. The next prime is 26507658269. The reversal of 26507658240 is 4285670562.

26507658240 is a `hidden beast` number, since 2 + 6 + 507 + 65 + 82 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (26507658211) and next prime (26507658269).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 66769722 + ... + 66770118.

Almost surely, 2^26507658240 is an apocalyptic number.

26507658240 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 26507658240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56781749376).

26507658240 is an abundant number, since it is smaller than the sum of its proper divisors (87055840512).

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

26507658240 is a wasteful number, since it uses less digits than its factorization.

26507658240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 26507658240 in words is "twenty-six billion, five hundred seven million, six hundred fifty-eight thousand, two hundred forty".