25200132525152 has 144 divisors (see below), whose sum is σ = 53971392061440. Its totient is φ = 11577069504000.

The previous prime is 25200132525109. The next prime is 25200132525167. The reversal of 25200132525152 is 25152523100252.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1686861299 + ... + 1686876237.

It is an arithmetic number, because the mean of its divisors is an integer number (374801333760).

Almost surely, 2^{25200132525152} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25200132525152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26985696030720).

25200132525152 is an abundant number, since it is smaller than the sum of its proper divisors (28771259536288).

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

25200132525152 is a wasteful number, since it uses less digits than its factorization.

25200132525152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16397 (or 16376 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 35.

The spelling of 25200132525152 in words is "twenty-five trillion, two hundred billion, one hundred thirty-two million, five hundred twenty-five thousand, one hundred fifty-two".