25120149981696 has 800 divisors, whose sum is σ = 94442713529472. Its totient is φ = 6457369559040.

The previous prime is 25120149981593. The next prime is 25120149981697. The reversal of 25120149981696 is 69618994102152.

25120149981696 is a `hidden beast` number, since 2 + 5 + 1 + 2 + 0 + 1 + 499 + 81 + 69 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (25120149981697) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 309713820 + ... + 309794916.

Almost surely, 2^{25120149981696} 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 25120149981696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47221356764736).

25120149981696 is an abundant number, since it is smaller than the sum of its proper divisors (69322563547776).

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

25120149981696 is an equidigital number, since it uses as much as digits as its factorization.

25120149981696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81242 (or 81217 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 63.

The spelling of 25120149981696 in words is "twenty-five trillion, one hundred twenty billion, one hundred forty-nine million, nine hundred eighty-one thousand, six hundred ninety-six".