26931914100 has 576 divisors, whose sum is σ = 108784704000. Its totient is φ = 5679797760.

The previous prime is 26931914077. The next prime is 26931914189. The reversal of 26931914100 is 141913962.

It is a happy number.

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 191 ways as a sum of consecutive naturals, for example, 12038182 + ... + 12040418.

Almost surely, 2^26931914100 is an apocalyptic number.

26931914100 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 26931914100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54392352000).

26931914100 is an abundant number, since it is smaller than the sum of its proper divisors (81852789900).

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

26931914100 is a wasteful number, since it uses less digits than its factorization.

26931914100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2294 (or 2267 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The spelling of 26931914100 in words is "twenty-six billion, nine hundred thirty-one million, nine hundred fourteen thousand, one hundred".