25380294619680 has 9216 divisors, whose sum is σ = 139442347376640. Its totient is φ = 4213820620800.

The previous prime is 25380294619609. The next prime is 25380294619681. The reversal of 25380294619680 is 8691649208352.

25380294619680 is a `hidden beast` number, since 2 + 5 + 3 + 8 + 0 + 2 + 9 + 4 + 619 + 6 + 8 + 0 = 666.

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 (25380294619681) by changing a digit.

It is a polite number, since it can be written in 1535 ways as a sum of consecutive naturals, for example, 590239409739 + ... + 590239409781.

It is an arithmetic number, because the mean of its divisors is an integer number (15130463040).

Almost surely, 2^{25380294619680} is an apocalyptic number.

25380294619680 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 25380294619680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69721173688320).

25380294619680 is an abundant number, since it is smaller than the sum of its proper divisors (114062052756960).

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

25380294619680 is a wasteful number, since it uses less digits than its factorization.

25380294619680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 25380294619680 in words is "twenty-five trillion, three hundred eighty billion, two hundred ninety-four million, six hundred nineteen thousand, six hundred eighty".