25481978697600 has 960 divisors, whose sum is σ = 94926387454800. Its totient is φ = 6731005132800.

The previous prime is 25481978697587. The next prime is 25481978697701. The reversal of 25481978697600 is 679687918452.

25481978697600 is a `hidden beast` number, since 2 + 5 + 4 + 8 + 1 + 9 + 7 + 8 + 6 + 9 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 16644008835 + ... + 16644010365.

Almost surely, 2^{25481978697600} is an apocalyptic number.

25481978697600 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 25481978697600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47463193727400).

25481978697600 is an abundant number, since it is smaller than the sum of its proper divisors (69444408757200).

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

25481978697600 is a wasteful number, since it uses less digits than its factorization.

25481978697600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2133 (or 2107 counting only the distinct ones).

The product of its (nonzero) digits is 365783040, while the sum is 72.

The spelling of 25481978697600 in words is "twenty-five trillion, four hundred eighty-one billion, nine hundred seventy-eight million, six hundred ninety-seven thousand, six hundred".