26648585925696 has 672 divisors, whose sum is σ = 93893797520640. Its totient is φ = 7056626024448.

The previous prime is 26648585925667. The next prime is 26648585925701. The reversal of 26648585925696 is 69652958584662.

26648585925696 is a `hidden beast` number, since 2 + 6 + 6 + 4 + 8 + 585 + 9 + 25 + 6 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1433249776 + ... + 1433268368.

Almost surely, 2^{26648585925696} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26648585925696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46946898760320).

26648585925696 is an abundant number, since it is smaller than the sum of its proper divisors (67245211594944).

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

26648585925696 is a wasteful number, since it uses less digits than its factorization.

26648585925696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19043 (or 19030 counting only the distinct ones).

The product of its digits is 13436928000, while the sum is 81.

The spelling of 26648585925696 in words is "twenty-six trillion, six hundred forty-eight billion, five hundred eighty-five million, nine hundred twenty-five thousand, six hundred ninety-six".