25384745990880 has 192 divisors, whose sum is σ = 88849234393920. Its totient is φ = 6769065719808.

The previous prime is 25384745990819. The next prime is 25384745990887. The reversal of 25384745990880 is 8809954748352.

25384745990880 is a `hidden beast` number, since 2 + 5 + 3 + 8 + 4 + 7 + 459 + 90 + 8 + 80 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 25384745990799 and 25384745990808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25384745990887) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 199230874 + ... + 199358246.

It is an arithmetic number, because the mean of its divisors is an integer number (462756429135).

Almost surely, 2^{25384745990880} is an apocalyptic number.

25384745990880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

25384745990880 is an abundant number, since it is smaller than the sum of its proper divisors (63464488403040).

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

25384745990880 is a wasteful number, since it uses less digits than its factorization.

25384745990880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173530 (or 173516 counting only the distinct ones).

The product of its (nonzero) digits is 696729600, while the sum is 72.

The spelling of 25384745990880 in words is "twenty-five trillion, three hundred eighty-four billion, seven hundred forty-five million, nine hundred ninety thousand, eight hundred eighty".