26115626880 has 512 divisors, whose sum is σ = 108185932800. Its totient is φ = 5829304320.

The previous prime is 26115626843. The next prime is 26115626993. The reversal of 26115626880 is 8862651162.

26115626880 is a `hidden beast` number, since 2 + 6 + 1 + 1 + 562 + 6 + 8 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5198770 + ... + 5203790.

It is an arithmetic number, because the mean of its divisors is an integer number (211300650).

Almost surely, 2^26115626880 is an apocalyptic number.

26115626880 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 26115626880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54092966400).

26115626880 is an abundant number, since it is smaller than the sum of its proper divisors (82070305920).

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

26115626880 is a wasteful number, since it uses less digits than its factorization.

26115626880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5099 (or 5081 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 26115626880 in words is "twenty-six billion, one hundred fifteen million, six hundred twenty-six thousand, eight hundred eighty".