26077295790 has 768 divisors, whose sum is σ = 92517949440. Its totient is φ = 5173217280.

The previous prime is 26077295779. The next prime is 26077295791. The reversal of 26077295790 is 9759277062.

26077295790 is a `hidden beast` number, since 2 + 60 + 7 + 7 + 2 + 9 + 579 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26077295791) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 357223194 + ... + 357223266.

It is an arithmetic number, because the mean of its divisors is an integer number (120466080).

Almost surely, 2^26077295790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26077295790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46258974720).

26077295790 is an abundant number, since it is smaller than the sum of its proper divisors (66440653650).

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

26077295790 is a wasteful number, since it uses less digits than its factorization.

26077295790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 3333960, while the sum is 54.

The spelling of 26077295790 in words is "twenty-six billion, seventy-seven million, two hundred ninety-five thousand, seven hundred ninety".