25238576123712 has 1792 divisors, whose sum is σ = 91215042969600. Its totient is φ = 6778983923712.

The previous prime is 25238576123699. The next prime is 25238576123713. The reversal of 25238576123712 is 21732167583252.

25238576123712 is a `hidden beast` number, since 2 + 5 + 2 + 3 + 8 + 5 + 7 + 612 + 3 + 7 + 12 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25238576123713) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 198728945793 + ... + 198728945919.

Almost surely, 2^{25238576123712} 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 25238576123712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45607521484800).

25238576123712 is an abundant number, since it is smaller than the sum of its proper divisors (65976466845888).

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

25238576123712 is an equidigital number, since it uses as much as digits as its factorization.

25238576123712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 324 counting only the distinct ones).

The product of its digits is 8467200, while the sum is 54.

The spelling of 25238576123712 in words is "twenty-five trillion, two hundred thirty-eight billion, five hundred seventy-six million, one hundred twenty-three thousand, seven hundred twelve".