26680342044096 has 672 divisors, whose sum is σ = 90508118500800. Its totient is φ = 7732862484480.

The previous prime is 26680342044079. The next prime is 26680342044127. The reversal of 26680342044096 is 69044024308662.

26680342044096 is a `hidden beast` number, since 2 + 6 + 6 + 80 + 34 + 2 + 0 + 440 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 240331770 + ... + 240442758.

It is an arithmetic number, because the mean of its divisors is an integer number (134684700150).

Almost surely, 2^{26680342044096} is an apocalyptic number.

26680342044096 is a gapful number since it is divisible by the number (26) 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 26680342044096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45254059250400).

26680342044096 is an abundant number, since it is smaller than the sum of its proper divisors (63827776456704).

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

26680342044096 is a wasteful number, since it uses less digits than its factorization.

26680342044096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111099 (or 111077 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 54.

The spelling of 26680342044096 in words is "twenty-six trillion, six hundred eighty billion, three hundred forty-two million, forty-four thousand, ninety-six".