26891536900 has 72 divisors (see below), whose sum is σ = 59137464960. Its totient is φ = 10612842240.

The previous prime is 26891536891. The next prime is 26891536907. The reversal of 26891536900 is 963519862.

It is a super-2 number, since 2×26891536900² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (26891536907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4473697 + ... + 4479703.

It is an arithmetic number, because the mean of its divisors is an integer number (821353680).

Almost surely, 2^26891536900 is an apocalyptic number.

26891536900 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 26891536900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29568732480).

26891536900 is an abundant number, since it is smaller than the sum of its proper divisors (32245928060).

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

26891536900 is a wasteful number, since it uses less digits than its factorization.

26891536900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6613 (or 6606 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 49.

The spelling of 26891536900 in words is "twenty-six billion, eight hundred ninety-one million, five hundred thirty-six thousand, nine hundred".