26749100790 has 192 divisors, whose sum is σ = 75418387200. Its totient is φ = 6554794752.

The previous prime is 26749100767. The next prime is 26749100797. The reversal of 26749100790 is 9700194762.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26749100797) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39163789 + ... + 39164471.

It is an arithmetic number, because the mean of its divisors is an integer number (392804100).

Almost surely, 2^26749100790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26749100790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37709193600).

26749100790 is an abundant number, since it is smaller than the sum of its proper divisors (48669286410).

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

26749100790 is a wasteful number, since it uses less digits than its factorization.

26749100790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1371 (or 1368 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 26749100790 in words is "twenty-six billion, seven hundred forty-nine million, one hundred thousand, seven hundred ninety".