25228670949120 has 288 divisors, whose sum is σ = 82303645132800. Its totient is φ = 6583285186560.

The previous prime is 25228670949113. The next prime is 25228670949161. The reversal of 25228670949120 is 2194907682252.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1386257781 + ... + 1386275979.

It is an arithmetic number, because the mean of its divisors is an integer number (285776545600).

Almost surely, 2^{25228670949120} is an apocalyptic number.

25228670949120 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 25228670949120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41151822566400).

25228670949120 is an abundant number, since it is smaller than the sum of its proper divisors (57074974183680).

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

25228670949120 is a wasteful number, since it uses less digits than its factorization.

25228670949120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25951 (or 25937 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 57.

The spelling of 25228670949120 in words is "twenty-five trillion, two hundred twenty-eight billion, six hundred seventy million, nine hundred forty-nine thousand, one hundred twenty".