26825188880 has 160 divisors (see below), whose sum is σ = 74480947200. Its totient is φ = 8785092096.

The previous prime is 26825188847. The next prime is 26825188891. The reversal of 26825188880 is 8888152862.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16987931 + ... + 16989509.

It is an arithmetic number, because the mean of its divisors is an integer number (465505920).

Almost surely, 2^26825188880 is an apocalyptic number.

26825188880 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 26825188880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37240473600).

26825188880 is an abundant number, since it is smaller than the sum of its proper divisors (47655758320).

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

26825188880 is a wasteful number, since it uses less digits than its factorization.

26825188880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2941 (or 2935 counting only the distinct ones).

The product of its (nonzero) digits is 3932160, while the sum is 56.

The spelling of 26825188880 in words is "twenty-six billion, eight hundred twenty-five million, one hundred eighty-eight thousand, eight hundred eighty".