25426442865200 has 120 divisors (see below), whose sum is σ = 65814188403600. Its totient is φ = 9384206791680.

The previous prime is 25426442865193. The next prime is 25426442865259. The reversal of 25426442865200 is 256824462452.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11117546 + ... + 13208054.

It is an arithmetic number, because the mean of its divisors is an integer number (548451570030).

Almost surely, 2^{25426442865200} is an apocalyptic number.

25426442865200 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 25426442865200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32907094201800).

25426442865200 is an abundant number, since it is smaller than the sum of its proper divisors (40387745538400).

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

25426442865200 is a wasteful number, since it uses less digits than its factorization.

25426442865200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2092879 (or 2092868 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 50.

The spelling of 25426442865200 in words is "twenty-five trillion, four hundred twenty-six billion, four hundred forty-two million, eight hundred sixty-five thousand, two hundred".