25247965456416 has 384 divisors, whose sum is σ = 69924834524160. Its totient is φ = 7968322252800.

The previous prime is 25247965456391. The next prime is 25247965456423. The reversal of 25247965456416 is 61465456974252.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10757546955 + ... + 10757549301.

It is an arithmetic number, because the mean of its divisors is an integer number (182095923240).

Almost surely, 2^{25247965456416} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25247965456416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34962417262080).

25247965456416 is an abundant number, since it is smaller than the sum of its proper divisors (44676869067744).

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

25247965456416 is a wasteful number, since it uses less digits than its factorization.

25247965456416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2968 (or 2960 counting only the distinct ones).

The product of its digits is 435456000, while the sum is 66.

The spelling of 25247965456416 in words is "twenty-five trillion, two hundred forty-seven billion, nine hundred sixty-five million, four hundred fifty-six thousand, four hundred sixteen".