25973024000 has 576 divisors, whose sum is σ = 82282217472. Its totient is φ = 7934976000.

The previous prime is 25973023981. The next prime is 25973024003. The reversal of 25973024000 is 42037952.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25973024003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 204511937 + ... + 204512063.

It is an arithmetic number, because the mean of its divisors is an integer number (142851072).

Almost surely, 2^25973024000 is an apocalyptic number.

25973024000 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 25973024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41141108736).

25973024000 is an abundant number, since it is smaller than the sum of its proper divisors (56309193472).

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

25973024000 is a wasteful number, since it uses less digits than its factorization.

25973024000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

The spelling of 25973024000 in words is "twenty-five billion, nine hundred seventy-three million, twenty-four thousand".