25374320224000 has 432 divisors, whose sum is σ = 73252216660896. Its totient is φ = 8684224512000.

The previous prime is 25374320223997. The next prime is 25374320224063. The reversal of 25374320224000 is 42202347352.

It is a super-2 number, since 2×25374320224000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101603284 + ... + 101852716.

Almost surely, 2^{25374320224000} is an apocalyptic number.

25374320224000 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 25374320224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36626108330448).

25374320224000 is an abundant number, since it is smaller than the sum of its proper divisors (47877896436896).

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

25374320224000 is a wasteful number, since it uses less digits than its factorization.

25374320224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249509 (or 249468 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 34.

The spelling of 25374320224000 in words is "twenty-five trillion, three hundred seventy-four billion, three hundred twenty million, two hundred twenty-four thousand".