26937130080 has 192 divisors, whose sum is σ = 100102238208. Its totient is φ = 5958420480.

The previous prime is 26937130009. The next prime is 26937130109. The reversal of 26937130080 is 8003173962.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25147 + ... + 233466.

It is an arithmetic number, because the mean of its divisors is an integer number (521365824).

Almost surely, 2^26937130080 is an apocalyptic number.

26937130080 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 26937130080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50051119104).

26937130080 is an abundant number, since it is smaller than the sum of its proper divisors (73165108128).

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

26937130080 is a wasteful number, since it uses less digits than its factorization.

26937130080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258669 (or 258661 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The spelling of 26937130080 in words is "twenty-six billion, nine hundred thirty-seven million, one hundred thirty thousand, eighty".