26045774100 has 144 divisors (see below), whose sum is σ = 85312664640. Its totient is φ = 6814454400.

The previous prime is 26045774071. The next prime is 26045774101. The reversal of 26045774100 is 147754062.

26045774100 is a `hidden beast` number, since 2 + 604 + 5 + 7 + 7 + 41 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26045774101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52095 + ... + 234105.

It is an arithmetic number, because the mean of its divisors is an integer number (592449060).

Almost surely, 2^26045774100 is an apocalyptic number.

26045774100 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 26045774100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42656332320).

26045774100 is an abundant number, since it is smaller than the sum of its proper divisors (59266890540).

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

26045774100 is a wasteful number, since it uses less digits than its factorization.

26045774100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182087 (or 182074 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 26045774100 in words is "twenty-six billion, forty-five million, seven hundred seventy-four thousand, one hundred".