25478604093096 has 2880 divisors, whose sum is σ = 100431690670080. Its totient is φ = 5993507520000.

The previous prime is 25478604093053. The next prime is 25478604093139. The reversal of 25478604093096 is 69039040687452.

25478604093096 is a `hidden beast` number, since 2 + 5 + 478 + 6 + 0 + 40 + 9 + 30 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (25478604093053) and next prime (25478604093139).

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

It is an unprimeable number.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 194493160951 + ... + 194493161081.

It is an arithmetic number, because the mean of its divisors is an integer number (34872114816).

Almost surely, 2^{25478604093096} 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 25478604093096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50215845335040).

25478604093096 is an abundant number, since it is smaller than the sum of its proper divisors (74953086576984).

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

25478604093096 is a wasteful number, since it uses less digits than its factorization.

25478604093096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 25478604093096 in words is "twenty-five trillion, four hundred seventy-eight billion, six hundred four million, ninety-three thousand, ninety-six".