26690860128 has 144 divisors (see below), whose sum is σ = 76211876160. Its totient is φ = 8156263680.

The previous prime is 26690860103. The next prime is 26690860151. The reversal of 26690860128 is 82106809662.

It is a happy number.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 1745251 + ... + 1760477.

It is an arithmetic number, because the mean of its divisors is an integer number (529249140).

Almost surely, 2^26690860128 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 26690860128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38105938080).

26690860128 is an abundant number, since it is smaller than the sum of its proper divisors (49521016032).

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

26690860128 is a wasteful number, since it uses less digits than its factorization.

26690860128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15321 (or 15282 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The spelling of 26690860128 in words is "twenty-six billion, six hundred ninety million, eight hundred sixty thousand, one hundred twenty-eight".