26792254720 has 576 divisors, whose sum is σ = 85446918144. Its totient is φ = 7801896960.

The previous prime is 26792254717. The next prime is 26792254747. The reversal of 26792254720 is 2745229762.

It is a Harshad number since it is a multiple of its sum of digits (46).

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, 120144529 + ... + 120144751.

It is an arithmetic number, because the mean of its divisors is an integer number (148345344).

Almost surely, 2^26792254720 is an apocalyptic number.

26792254720 is a gapful number since it is divisible by the number (20) 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 26792254720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42723459072).

26792254720 is an abundant number, since it is smaller than the sum of its proper divisors (58654663424).

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

26792254720 is a wasteful number, since it uses less digits than its factorization.

26792254720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 46.

The spelling of 26792254720 in words is "twenty-six billion, seven hundred ninety-two million, two hundred fifty-four thousand, seven hundred twenty".