25132032000 has 672 divisors, whose sum is σ = 94889811744. Its totient is φ = 6635520000.

The previous prime is 25132031971. The next prime is 25132032011. The reversal of 25132032000 is 23023152.

25132032000 is a `hidden beast` number, since 25 + 1 + 320 + 320 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 248831950 + ... + 248832050.

It is an arithmetic number, because the mean of its divisors is an integer number (141205077).

Almost surely, 2^25132032000 is an apocalyptic number.

25132032000 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 25132032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47444905872).

25132032000 is an abundant number, since it is smaller than the sum of its proper divisors (69757779744).

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

25132032000 is an frugal number, since it uses more digits than its factorization.

25132032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

Adding to 25132032000 its reverse (23023152), we get a palindrome (25155055152).

The spelling of 25132032000 in words is "twenty-five billion, one hundred thirty-two million, thirty-two thousand".