26516317464 has 960 divisors, whose sum is σ = 102772051200. Its totient is φ = 6337191168.

The previous prime is 26516317453. The next prime is 26516317493. The reversal of 26516317464 is 46471361562.

26516317464 is a `hidden beast` number, since 2 + 6 + 5 + 1 + 631 + 7 + 4 + 6 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1152883357 + ... + 1152883379.

It is an arithmetic number, because the mean of its divisors is an integer number (107054220).

Almost surely, 2^26516317464 is an apocalyptic number.

26516317464 is a gapful number since it is divisible by the number (24) 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 26516317464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51386025600).

26516317464 is an abundant number, since it is smaller than the sum of its proper divisors (76255733736).

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

26516317464 is a wasteful number, since it uses less digits than its factorization.

26516317464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 67 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The spelling of 26516317464 in words is "twenty-six billion, five hundred sixteen million, three hundred seventeen thousand, four hundred sixty-four".