26725800960 has 264 divisors, whose sum is σ = 96038460336. Its totient is φ = 7126548480.

The previous prime is 26725800949. The next prime is 26725800977. The reversal of 26725800960 is 6900852762.

26725800960 is a `hidden beast` number, since 2 + 6 + 7 + 2 + 580 + 0 + 9 + 60 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1233420 + ... + 1254900.

Almost surely, 2^26725800960 is an apocalyptic number.

26725800960 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 26725800960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48019230168).

26725800960 is an abundant number, since it is smaller than the sum of its proper divisors (69312659376).

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

26725800960 is an equidigital number, since it uses as much as digits as its factorization.

26725800960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21521 (or 21491 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 26725800960 in words is "twenty-six billion, seven hundred twenty-five million, eight hundred thousand, nine hundred sixty".