26042800353696 has 576 divisors, whose sum is σ = 92584630575360. Its totient is φ = 7087690874880.

The previous prime is 26042800353649. The next prime is 26042800353737. The reversal of 26042800353696 is 69635300824062.

It is a happy number.

26042800353696 is a `hidden beast` number, since 2 + 6 + 0 + 4 + 280 + 0 + 353 + 6 + 9 + 6 = 666.

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

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, 234612960 + ... + 234723936.

It is an arithmetic number, because the mean of its divisors is an integer number (160737205860).

Almost surely, 2^{26042800353696} 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 26042800353696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46292315287680).

26042800353696 is an abundant number, since it is smaller than the sum of its proper divisors (66541830221664).

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

26042800353696 is a wasteful number, since it uses less digits than its factorization.

26042800353696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111274 (or 111253 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 26042800353696 in words is "twenty-six trillion, forty-two billion, eight hundred million, three hundred fifty-three thousand, six hundred ninety-six".