25485606989568 has 720 divisors, whose sum is σ = 83993604710400. Its totient is φ = 7621873459200.

The previous prime is 25485606989543. The next prime is 25485606989573. The reversal of 25485606989568 is 86598960658452.

25485606989568 is a `hidden beast` number, since 2 + 5 + 48 + 5 + 6 + 0 + 6 + 9 + 8 + 9 + 568 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5764667998 + ... + 5764672418.

It is an arithmetic number, because the mean of its divisors is an integer number (116657784320).

Almost surely, 2^{25485606989568} 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 25485606989568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41996802355200).

25485606989568 is an abundant number, since it is smaller than the sum of its proper divisors (58507997720832).

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

25485606989568 is a wasteful number, since it uses less digits than its factorization.

25485606989568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4786 (or 4763 counting only the distinct ones).

The product of its (nonzero) digits is 8957952000, while the sum is 81.

The spelling of 25485606989568 in words is "twenty-five trillion, four hundred eighty-five billion, six hundred six million, nine hundred eighty-nine thousand, five hundred sixty-eight".