26157180000 has 960 divisors, whose sum is σ = 105806131200. Its totient is φ = 5644800000.

The previous prime is 26157179987. The next prime is 26157180017. The reversal of 26157180000 is 8175162.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 26157180000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 637979980 + ... + 637980020.

It is an arithmetic number, because the mean of its divisors is an integer number (110214720).

Almost surely, 2^26157180000 is an apocalyptic number.

26157180000 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 26157180000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52903065600).

26157180000 is an abundant number, since it is smaller than the sum of its proper divisors (79648951200).

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

26157180000 is an equidigital number, since it uses as much as digits as its factorization.

26157180000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The spelling of 26157180000 in words is "twenty-six billion, one hundred fifty-seven million, one hundred eighty thousand".