26513192736 has 144 divisors (see below), whose sum is σ = 76315677984. Its totient is φ = 8730519552.

The previous prime is 26513192689. The next prime is 26513192767. The reversal of 26513192736 is 63729131562.

26513192736 is a `hidden beast` number, since 2 + 65 + 1 + 319 + 273 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 26513192691 and 26513192700.

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, 13342335 + ... + 13344321.

It is an arithmetic number, because the mean of its divisors is an integer number (529969986).

Almost surely, 2^26513192736 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 26513192736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38157838992).

26513192736 is an abundant number, since it is smaller than the sum of its proper divisors (49802485248).

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

26513192736 is a wasteful number, since it uses less digits than its factorization.

26513192736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2543 (or 2532 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The spelling of 26513192736 in words is "twenty-six billion, five hundred thirteen million, one hundred ninety-two thousand, seven hundred thirty-six".