25492259913120 has 1536 divisors, whose sum is σ = 123927293952000. Its totient is φ = 4720993320960.

The previous prime is 25492259913119. The next prime is 25492259913139. The reversal of 25492259913120 is 2131995229452.

25492259913120 is a `hidden beast` number, since 2 + 5 + 4 + 9 + 22 + 599 + 1 + 3 + 1 + 20 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 125303641 + ... + 125506919.

It is an arithmetic number, because the mean of its divisors is an integer number (80681832000).

Almost surely, 2^{25492259913120} is an apocalyptic number.

25492259913120 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 25492259913120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61963646976000).

25492259913120 is an abundant number, since it is smaller than the sum of its proper divisors (98435034038880).

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

25492259913120 is a wasteful number, since it uses less digits than its factorization.

25492259913120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203363 (or 203349 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 25492259913120 in words is "twenty-five trillion, four hundred ninety-two billion, two hundred fifty-nine million, nine hundred thirteen thousand, one hundred twenty".