25802212800 has 672 divisors, whose sum is σ = 109706867200. Its totient is φ = 5155799040.

The previous prime is 25802212789. The next prime is 25802212817. The reversal of 25802212800 is 821220852.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 8297646 + ... + 8300754.

Almost surely, 2^25802212800 is an apocalyptic number.

25802212800 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 25802212800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54853433600).

25802212800 is an abundant number, since it is smaller than the sum of its proper divisors (83904654400).

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

25802212800 is a wasteful number, since it uses less digits than its factorization.

25802212800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3173 (or 3158 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The spelling of 25802212800 in words is "twenty-five billion, eight hundred two million, two hundred twelve thousand, eight hundred".