26331096900 has 144 divisors (see below), whose sum is σ = 79944883200. Its totient is φ = 6678503040.

The previous prime is 26331096889. The next prime is 26331096931. The reversal of 26331096900 is 969013362.

It is a super-2 number, since 2×26331096900² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1224441 + ... + 1245759.

It is an arithmetic number, because the mean of its divisors is an integer number (555172800).

Almost surely, 2^26331096900 is an apocalyptic number.

26331096900 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 26331096900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39972441600).

26331096900 is an abundant number, since it is smaller than the sum of its proper divisors (53613786300).

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

26331096900 is a wasteful number, since it uses less digits than its factorization.

26331096900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21538 (or 21531 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 39.

The spelling of 26331096900 in words is "twenty-six billion, three hundred thirty-one million, ninety-six thousand, nine hundred".