25493403539968 has 480 divisors, whose sum is σ = 66053357314560. Its totient is φ = 9732755128320.

The previous prime is 25493403539911. The next prime is 25493403539987. The reversal of 25493403539968 is 86993530439452.

It is a junction number, because it is equal to n+sod(n) for n = 25493403539897 and 25493403539906.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3831862530 + ... + 3831869182.

It is an arithmetic number, because the mean of its divisors is an integer number (137611161072).

Almost surely, 2^{25493403539968} is an apocalyptic number.

25493403539968 is a gapful number since it is divisible by the number (28) 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 25493403539968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33026678657280).

25493403539968 is an abundant number, since it is smaller than the sum of its proper divisors (40559953774592).

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

25493403539968 is a wasteful number, since it uses less digits than its factorization.

25493403539968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7108 (or 7085 counting only the distinct ones).

The product of its (nonzero) digits is 755827200, while the sum is 70.

The spelling of 25493403539968 in words is "twenty-five trillion, four hundred ninety-three billion, four hundred three million, five hundred thirty-nine thousand, nine hundred sixty-eight".