25481541309120 has 672 divisors, whose sum is σ = 97482292776960. Its totient is φ = 6066952151040.

The previous prime is 25481541309097. The next prime is 25481541309157. The reversal of 25481541309120 is 2190314518452.

25481541309120 is a `hidden beast` number, since 2 + 5 + 4 + 81 + 541 + 3 + 0 + 9 + 1 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2946860637 + ... + 2946869283.

It is an arithmetic number, because the mean of its divisors is an integer number (145062935680).

Almost surely, 2^{25481541309120} is an apocalyptic number.

25481541309120 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 25481541309120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48741146388480).

25481541309120 is an abundant number, since it is smaller than the sum of its proper divisors (72000751467840).

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

25481541309120 is a wasteful number, since it uses less digits than its factorization.

25481541309120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11253 (or 11240 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 25481541309120 in words is "twenty-five trillion, four hundred eighty-one billion, five hundred forty-one million, three hundred nine thousand, one hundred twenty".