25981924448970 has 224 divisors, whose sum is σ = 81494385690240. Its totient is φ = 5838068545920.

The previous prime is 25981924448933. The next prime is 25981924449031. The reversal of 25981924448970 is 7984442918952.

25981924448970 is a `hidden beast` number, since 2 + 5 + 9 + 8 + 1 + 92 + 4 + 448 + 97 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1304061 + ... + 7325600.

Almost surely, 2^{25981924448970} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25981924448970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40747192845120).

25981924448970 is an abundant number, since it is smaller than the sum of its proper divisors (55512461241270).

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

25981924448970 is an equidigital number, since it uses as much as digits as its factorization.

25981924448970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8629752 (or 8629737 counting only the distinct ones).

The product of its (nonzero) digits is 418037760, while the sum is 72.

The spelling of 25981924448970 in words is "twenty-five trillion, nine hundred eighty-one billion, nine hundred twenty-four million, four hundred forty-eight thousand, nine hundred seventy".