25852954800 has 480 divisors, whose sum is σ = 88776103680. Its totient is φ = 6420377600.

The previous prime is 25852954723. The next prime is 25852954861. The reversal of 25852954800 is 845925852.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 25852954800.

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, 197350735 + ... + 197350865.

It is an arithmetic number, because the mean of its divisors is an integer number (184950216).

Almost surely, 2^25852954800 is an apocalyptic number.

25852954800 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 25852954800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44388051840).

25852954800 is an abundant number, since it is smaller than the sum of its proper divisors (62923148880).

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

25852954800 is a wasteful number, since it uses less digits than its factorization.

25852954800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 48.

The spelling of 25852954800 in words is "twenty-five billion, eight hundred fifty-two million, nine hundred fifty-four thousand, eight hundred".