25032096000 has 432 divisors, whose sum is σ = 94013861760. Its totient is φ = 6383308800.

The previous prime is 25032095971. The next prime is 25032096017. The reversal of 25032096000 is 69023052.

25032096000 is a `hidden beast` number, since 2 + 50 + 3 + 2 + 0 + 9 + 600 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6622111 + ... + 6625889.

It is an arithmetic number, because the mean of its divisors is an integer number (217624680).

Almost surely, 2^25032096000 is an apocalyptic number.

25032096000 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 25032096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47006930880).

25032096000 is an abundant number, since it is smaller than the sum of its proper divisors (68981765760).

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

25032096000 is a wasteful number, since it uses less digits than its factorization.

25032096000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3839 (or 3812 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The spelling of 25032096000 in words is "twenty-five billion, thirty-two million, ninety-six thousand".