25258559961600 has 5040 divisors, whose sum is σ = 121450075572672. Its totient is φ = 5076650557440.

The previous prime is 25258559961589. The next prime is 25258559961601. The reversal of 25258559961600 is 616995585252.

25258559961600 is a `hidden beast` number, since 2 + 5 + 2 + 5 + 8 + 5 + 5 + 9 + 9 + 616 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5040).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (25258559961601) by changing a digit.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 587408371179 + ... + 587408371221.

Almost surely, 2^{25258559961600} is an apocalyptic number.

25258559961600 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 25258559961600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60725037786336).

25258559961600 is an abundant number, since it is smaller than the sum of its proper divisors (96191515611072).

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

25258559961600 is an equidigital number, since it uses as much as digits as its factorization.

25258559961600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 58320000, while the sum is 63.

The spelling of 25258559961600 in words is "twenty-five trillion, two hundred fifty-eight billion, five hundred fifty-nine million, nine hundred sixty-one thousand, six hundred".