25490908980000 has 720 divisors, whose sum is σ = 94413786667200. Its totient is φ = 6763160448000.

The previous prime is 25490908979941. The next prime is 25490908980067. The reversal of 25490908980000 is 8980909452.

25490908980000 is a `hidden beast` number, since 2 + 549 + 0 + 9 + 0 + 8 + 98 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 119 ways as a sum of consecutive naturals, for example, 967126822 + ... + 967153178.

It is an arithmetic number, because the mean of its divisors is an integer number (131130259260).

Almost surely, 2^{25490908980000} is an apocalyptic number.

25490908980000 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 25490908980000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47206893333600).

25490908980000 is an abundant number, since it is smaller than the sum of its proper divisors (68922877687200).

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

25490908980000 is an equidigital number, since it uses as much as digits as its factorization.

25490908980000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26601 (or 26566 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 25490908980000 in words is "twenty-five trillion, four hundred ninety billion, nine hundred eight million, nine hundred eighty thousand".