26250138900 has 54 divisors (see below), whose sum is σ = 82279604862. Its totient is φ = 7000036800.

The previous prime is 26250138899. The next prime is 26250138917. The reversal of 26250138900 is 983105262.

26250138900 is a `hidden beast` number, since 2 + 62 + 501 + 3 + 8 + 90 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 31404816 + 26218734084 = 5604^2 + 161922^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 14582511 + ... + 14584310.

Almost surely, 2^26250138900 is an apocalyptic number.

26250138900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26250138900 is an abundant number, since it is smaller than the sum of its proper divisors (56029465962).

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

26250138900 is a wasteful number, since it uses less digits than its factorization.

26250138900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29166841 (or 29166831 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

It can be divided in two parts, 262501 and 38900, that added together give a square (301401 = 549²).

The spelling of 26250138900 in words is "twenty-six billion, two hundred fifty million, one hundred thirty-eight thousand, nine hundred".