25089409784880 has 960 divisors, whose sum is σ = 103206999329280. Its totient is φ = 5582800226304.

The previous prime is 25089409784843. The next prime is 25089409784899. The reversal of 25089409784880 is 8848790498052.

25089409784880 is a `hidden beast` number, since 2 + 50 + 8 + 9 + 4 + 0 + 97 + 8 + 488 + 0 = 666.

It is a super-2 number, since 2×25089409784880² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 25089409784799 and 25089409784808.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1397184862 + ... + 1397202818.

It is an arithmetic number, because the mean of its divisors is an integer number (107507290968).

Almost surely, 2^{25089409784880} is an apocalyptic number.

25089409784880 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 25089409784880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51603499664640).

25089409784880 is an abundant number, since it is smaller than the sum of its proper divisors (78117589544400).

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

25089409784880 is a wasteful number, since it uses less digits than its factorization.

25089409784880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18343 (or 18324 counting only the distinct ones).

The product of its (nonzero) digits is 371589120, while the sum is 72.

The spelling of 25089409784880 in words is "twenty-five trillion, eighty-nine billion, four hundred nine million, seven hundred eighty-four thousand, eight hundred eighty".