25249232947400 has 768 divisors, whose sum is σ = 76600011571200. Its totient is φ = 7510745088000.

The previous prime is 25249232947381. The next prime is 25249232947409. The reversal of 25249232947400 is 474923294252.

It is not an unprimeable number, because it can be changed into a prime (25249232947409) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 28594827359 + ... + 28594828241.

It is an arithmetic number, because the mean of its divisors is an integer number (99739598400).

Almost surely, 2^{25249232947400} is an apocalyptic number.

25249232947400 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 25249232947400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38300005785600).

25249232947400 is an abundant number, since it is smaller than the sum of its proper divisors (51350778623800).

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

25249232947400 is a wasteful number, since it uses less digits than its factorization.

25249232947400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1710 (or 1701 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 53.

The spelling of 25249232947400 in words is "twenty-five trillion, two hundred forty-nine billion, two hundred thirty-two million, nine hundred forty-seven thousand, four hundred".