26109100080 has 240 divisors, whose sum is σ = 101908834560. Its totient is φ = 5866578432.

The previous prime is 26109100051. The next prime is 26109100099. The reversal of 26109100080 is 8000190162.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 253459 + ... + 341261.

It is an arithmetic number, because the mean of its divisors is an integer number (424620144).

Almost surely, 2^26109100080 is an apocalyptic number.

26109100080 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 26109100080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50954417280).

26109100080 is an abundant number, since it is smaller than the sum of its proper divisors (75799734480).

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

26109100080 is a wasteful number, since it uses less digits than its factorization.

26109100080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87888 (or 87879 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 26109100080 in words is "twenty-six billion, one hundred nine million, one hundred thousand, eighty".