25820249548800 has 1152 divisors, whose sum is σ = 104548408473600. Its totient is φ = 5492405698560.

The previous prime is 25820249548783. The next prime is 25820249548871. The reversal of 25820249548800 is 884594202852.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 914981091 + ... + 915009309.

It is an arithmetic number, because the mean of its divisors is an integer number (90753826800).

Almost surely, 2^{25820249548800} is an apocalyptic number.

25820249548800 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 25820249548800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52274204236800).

25820249548800 is an abundant number, since it is smaller than the sum of its proper divisors (78728158924800).

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

25820249548800 is a wasteful number, since it uses less digits than its factorization.

25820249548800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28321 (or 28296 counting only the distinct ones).

The product of its (nonzero) digits is 14745600, while the sum is 57.

The spelling of 25820249548800 in words is "twenty-five trillion, eight hundred twenty billion, two hundred forty-nine million, five hundred forty-eight thousand, eight hundred".