25325473098240 has 480 divisors, whose sum is σ = 104645256471360. Its totient is φ = 5788678791168.

The previous prime is 25325473098223. The next prime is 25325473098283. The reversal of 25325473098240 is 4289037452352.

25325473098240 is a `hidden beast` number, since 2 + 5 + 3 + 2 + 547 + 3 + 0 + 98 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 351882 + ... + 7125641.

It is an arithmetic number, because the mean of its divisors is an integer number (218010950982).

Almost surely, 2^{25325473098240} is an apocalyptic number.

25325473098240 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 25325473098240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52322628235680).

25325473098240 is an abundant number, since it is smaller than the sum of its proper divisors (79319783373120).

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

25325473098240 is an equidigital number, since it uses as much as digits as its factorization.

25325473098240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7477569 (or 7477540 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 25325473098240 in words is "twenty-five trillion, three hundred twenty-five billion, four hundred seventy-three million, ninety-eight thousand, two hundred forty".