25985170224520 has 256 divisors, whose sum is σ = 66103579987200. Its totient is φ = 9129661009920.

The previous prime is 25985170224493. The next prime is 25985170224529. The reversal of 25985170224520 is 2542207158952.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (25985170224529) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 179109610 + ... + 179254630.

It is an arithmetic number, because the mean of its divisors is an integer number (258217109325).

Almost surely, 2^{25985170224520} is an apocalyptic number.

25985170224520 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 25985170224520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33051789993600).

25985170224520 is an abundant number, since it is smaller than the sum of its proper divisors (40118409762680).

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

25985170224520 is a wasteful number, since it uses less digits than its factorization.

25985170224520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145288 (or 145284 counting only the distinct ones).

The product of its (nonzero) digits is 4032000, while the sum is 52.

The spelling of 25985170224520 in words is "twenty-five trillion, nine hundred eighty-five billion, one hundred seventy million, two hundred twenty-four thousand, five hundred twenty".