26873604264960 has 1760 divisors, whose sum is σ = 107856790272000. Its totient is φ = 6365852467200.

The previous prime is 26873604264907. The next prime is 26873604264989. The reversal of 26873604264960 is 6946240637862.

26873604264960 is a `hidden beast` number, since 2 + 6 + 8 + 7 + 360 + 4 + 264 + 9 + 6 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 8960853541 + ... + 8960856539.

It is an arithmetic number, because the mean of its divisors is an integer number (61282267200).

Almost surely, 2^{26873604264960} is an apocalyptic number.

26873604264960 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 26873604264960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53928395136000).

26873604264960 is an abundant number, since it is smaller than the sum of its proper divisors (80983186007040).

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

26873604264960 is a wasteful number, since it uses less digits than its factorization.

26873604264960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3125 (or 3098 counting only the distinct ones).

The product of its (nonzero) digits is 125411328, while the sum is 63.

The spelling of 26873604264960 in words is "twenty-six trillion, eight hundred seventy-three billion, six hundred four million, two hundred sixty-four thousand, nine hundred sixty".