26887852800 has 864 divisors, whose sum is σ = 106618800960. Its totient is φ = 6688604160.

The previous prime is 26887852777. The next prime is 26887852819. The reversal of 26887852800 is 825878862.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 237945544 + ... + 237945656.

It is an arithmetic number, because the mean of its divisors is an integer number (123401390).

Almost surely, 2^26887852800 is an apocalyptic number.

26887852800 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 26887852800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53309400480).

26887852800 is an abundant number, since it is smaller than the sum of its proper divisors (79730948160).

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

26887852800 is an equidigital number, since it uses as much as digits as its factorization.

26887852800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The spelling of 26887852800 in words is "twenty-six billion, eight hundred eighty-seven million, eight hundred fifty-two thousand, eight hundred".