25994304000 has 960 divisors, whose sum is σ = 112069077120. Its totient is φ = 5922201600.

The previous prime is 25994303989. The next prime is 25994304001. The reversal of 25994304000 is 40349952.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (25994304001) 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, 84671847 + ... + 84672153.

It is an arithmetic number, because the mean of its divisors is an integer number (116738622).

Almost surely, 2^25994304000 is an apocalyptic number.

25994304000 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 25994304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56034538560).

25994304000 is an abundant number, since it is smaller than the sum of its proper divisors (86074773120).

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

25994304000 is an equidigital number, since it uses as much as digits as its factorization.

25994304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 25994304000 in words is "twenty-five billion, nine hundred ninety-four million, three hundred four thousand".