25269138944000 has 416 divisors, whose sum is σ = 72129028608000. Its totient is φ = 8656999219200.

The previous prime is 25269138943991. The next prime is 25269138944017. The reversal of 25269138944000 is 44983196252.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7522814321 + ... + 7522817679.

It is an arithmetic number, because the mean of its divisors is an integer number (173387088000).

Almost surely, 2^{25269138944000} is an apocalyptic number.

25269138944000 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 25269138944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36064514304000).

25269138944000 is an abundant number, since it is smaller than the sum of its proper divisors (46859889664000).

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

25269138944000 is an equidigital number, since it uses as much as digits as its factorization.

25269138944000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5504 (or 5472 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 53.

The spelling of 25269138944000 in words is "twenty-five trillion, two hundred sixty-nine billion, one hundred thirty-eight million, nine hundred forty-four thousand".