26141626368 has 1040 divisors, whose sum is σ = 99903988800. Its totient is φ = 6688604160.

The previous prime is 26141626361. The next prime is 26141626421. The reversal of 26141626368 is 86362614162.

26141626368 is a `hidden beast` number, since 2 + 6 + 1 + 4 + 1 + 6 + 2 + 636 + 8 = 666.

It is a super-2 number, since 2×26141626368² (a number of 22 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (497664) is a multiple of the sum of its prime factors (108).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26141626361) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 901435378 + ... + 901435406.

Almost surely, 2^26141626368 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 26141626368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49951994400).

26141626368 is an abundant number, since it is smaller than the sum of its proper divisors (73762362432).

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

26141626368 is a wasteful number, since it uses less digits than its factorization.

26141626368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 77 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The spelling of 26141626368 in words is "twenty-six billion, one hundred forty-one million, six hundred twenty-six thousand, three hundred sixty-eight".