25827892428800 has 1536 divisors, whose sum is σ = 83130507878400. Its totient is φ = 7729053696000.

The previous prime is 25827892428781. The next prime is 25827892428803. The reversal of 25827892428800 is 882429872852.

It is not an unprimeable number, because it can be changed into a prime (25827892428803) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 326935347161 + ... + 326935347239.

It is an arithmetic number, because the mean of its divisors is an integer number (54121424400).

Almost surely, 2^{25827892428800} is an apocalyptic number.

25827892428800 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 25827892428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41565253939200).

25827892428800 is an abundant number, since it is smaller than the sum of its proper divisors (57302615449600).

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

25827892428800 is an equidigital number, since it uses as much as digits as its factorization.

25827892428800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 82575360, while the sum is 65.

The spelling of 25827892428800 in words is "twenty-five trillion, eight hundred twenty-seven billion, eight hundred ninety-two million, four hundred twenty-eight thousand, eight hundred".