26074974085056 has 448 divisors, whose sum is σ = 83016762998400. Its totient is φ = 7978018406400.

The previous prime is 26074974085049. The next prime is 26074974085073. The reversal of 26074974085056 is 65058047947062.

26074974085056 is a `hidden beast` number, since 2 + 6 + 0 + 7 + 497 + 40 + 8 + 50 + 56 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 26074974084984 and 26074974085002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4119916900 + ... + 4119923228.

It is an arithmetic number, because the mean of its divisors is an integer number (185305274550).

Almost surely, 2^{26074974085056} is an apocalyptic number.

26074974085056 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 26074974085056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41508381499200).

26074974085056 is an abundant number, since it is smaller than the sum of its proper divisors (56941788913344).

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

26074974085056 is a wasteful number, since it uses less digits than its factorization.

26074974085056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7365 (or 7349 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 63.

The spelling of 26074974085056 in words is "twenty-six trillion, seventy-four billion, nine hundred seventy-four million, eighty-five thousand, fifty-six".