26200191200256 has 264 divisors, whose sum is σ = 76600747042560. Its totient is φ = 8624403800064.

The previous prime is 26200191200179. The next prime is 26200191200291. The reversal of 26200191200256 is 65200219100262.

26200191200256 is a `hidden beast` number, since 2 + 620 + 0 + 1 + 9 + 1 + 2 + 0 + 0 + 25 + 6 = 666.

It is a super-3 number, since 3×26200191200256³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 26200191200256.

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, 340741591 + ... + 340818473.

Almost surely, 2^{26200191200256} 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 26200191200256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38300373521280).

26200191200256 is an abundant number, since it is smaller than the sum of its proper divisors (50400555842304).

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

26200191200256 is a wasteful number, since it uses less digits than its factorization.

26200191200256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77371 (or 77350 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 26200191200256 in words is "twenty-six trillion, two hundred billion, one hundred ninety-one million, two hundred thousand, two hundred fifty-six".