25088947923312 has 1280 divisors, whose sum is σ = 92945091133440. Its totient is φ = 6302591078400.

The previous prime is 25088947923287. The next prime is 25088947923313. The reversal of 25088947923312 is 21332974988052.

25088947923312 is a `hidden beast` number, since 2 + 50 + 8 + 89 + 479 + 2 + 3 + 31 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 25088947923312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25088947923313) 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, 23602020093 + ... + 23602021155.

It is an arithmetic number, because the mean of its divisors is an integer number (72613352448).

Almost surely, 2^{25088947923312} 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 25088947923312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46472545566720).

25088947923312 is an abundant number, since it is smaller than the sum of its proper divisors (67856143210128).

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

25088947923312 is a wasteful number, since it uses less digits than its factorization.

25088947923312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1419 (or 1407 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 25088947923312 in words is "twenty-five trillion, eighty-eight billion, nine hundred forty-seven million, nine hundred twenty-three thousand, three hundred twelve".