26079176880 has 160 divisors (see below), whose sum is σ = 89887312320. Its totient is φ = 6949877760.

The previous prime is 26079176867. The next prime is 26079176891. The reversal of 26079176880 is 8867197062.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 4431540 + ... + 4437420.

It is an arithmetic number, because the mean of its divisors is an integer number (561795702).

Almost surely, 2^26079176880 is an apocalyptic number.

26079176880 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 26079176880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44943656160).

26079176880 is an abundant number, since it is smaller than the sum of its proper divisors (63808135440).

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

26079176880 is a wasteful number, since it uses less digits than its factorization.

26079176880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7956 (or 7944 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 26079176880 in words is "twenty-six billion, seventy-nine million, one hundred seventy-six thousand, eight hundred eighty".