26860172800 has 120 divisors (see below), whose sum is σ = 69442336656. Its totient is φ = 10276823040.

The previous prime is 26860172753. The next prime is 26860172813. The reversal of 26860172800 is 827106862.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 248782 + ... + 340018.

Almost surely, 2^26860172800 is an apocalyptic number.

26860172800 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 26860172800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34721168328).

26860172800 is an abundant number, since it is smaller than the sum of its proper divisors (42582163856).

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

26860172800 is an equidigital number, since it uses as much as digits as its factorization.

26860172800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91288 (or 91267 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The spelling of 26860172800 in words is "twenty-six billion, eight hundred sixty million, one hundred seventy-two thousand, eight hundred".