25194966900480 has 1008 divisors, whose sum is σ = 97695860159520. Its totient is φ = 6185788342272.

The previous prime is 25194966900479. The next prime is 25194966900487. The reversal of 25194966900480 is 8400966949152.

25194966900480 is a `hidden beast` number, since 2 + 5 + 1 + 9 + 4 + 9 + 66 + 90 + 0 + 480 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25194966900487) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 5082702162 + ... + 5082707118.

It is an arithmetic number, because the mean of its divisors is an integer number (96920496190).

Almost surely, 2^{25194966900480} is an apocalyptic number.

25194966900480 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 25194966900480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48847930079760).

25194966900480 is an abundant number, since it is smaller than the sum of its proper divisors (72500893259040).

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

25194966900480 is an equidigital number, since it uses as much as digits as its factorization.

25194966900480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5428 (or 5399 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 25194966900480 in words is "twenty-five trillion, one hundred ninety-four billion, nine hundred sixty-six million, nine hundred thousand, four hundred eighty".