25413984990720 has 400 divisors, whose sum is σ = 91043871993360. Its totient is φ = 6775647584256.

The previous prime is 25413984990679. The next prime is 25413984990721. The reversal of 25413984990720 is 2709948931452.

25413984990720 is a `hidden beast` number, since 2 + 5 + 4 + 139 + 8 + 499 + 0 + 7 + 2 + 0 = 666.

It is a super-2 number, since 2×25413984990720² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25413984990721) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 1322739834 + ... + 1322759046.

Almost surely, 2^{25413984990720} is an apocalyptic number.

25413984990720 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 25413984990720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45521935996680).

25413984990720 is an abundant number, since it is smaller than the sum of its proper divisors (65629887002640).

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

25413984990720 is an equidigital number, since it uses as much as digits as its factorization.

25413984990720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25627 (or 25602 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 25413984990720 in words is "twenty-five trillion, four hundred thirteen billion, nine hundred eighty-four million, nine hundred ninety thousand, seven hundred twenty".