25803878400 has 936 divisors, whose sum is σ = 103148804304. Its totient is φ = 6370099200.

The previous prime is 25803878381. The next prime is 25803878413. The reversal of 25803878400 is 487830852.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 423014370 + ... + 423014430.

It is an arithmetic number, because the mean of its divisors is an integer number (110201714).

Almost surely, 2^25803878400 is an apocalyptic number.

25803878400 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 25803878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51574402152).

25803878400 is an abundant number, since it is smaller than the sum of its proper divisors (77344925904).

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

25803878400 is an equidigital number, since it uses as much as digits as its factorization.

25803878400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 25803878400 in words is "twenty-five billion, eight hundred three million, eight hundred seventy-eight thousand, four hundred".