25864108800 has 216 divisors, whose sum is σ = 86037159936. Its totient is φ = 6842142720.

The previous prime is 25864108783. The next prime is 25864108813. The reversal of 25864108800 is 880146852.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2433097 + ... + 2443703.

Almost surely, 2^25864108800 is an apocalyptic number.

25864108800 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 25864108800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43018579968).

25864108800 is an abundant number, since it is smaller than the sum of its proper divisors (60173051136).

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

25864108800 is a wasteful number, since it uses less digits than its factorization.

25864108800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10763 (or 10744 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 42.

The spelling of 25864108800 in words is "twenty-five billion, eight hundred sixty-four million, one hundred eight thousand, eight hundred".