25530433625400 has 192 divisors, whose sum is σ = 86484895326720. Its totient is φ = 6178757990400.

The previous prime is 25530433625399. The next prime is 25530433625413. The reversal of 25530433625400 is 452633403552.

It is a super-2 number, since 2×25530433625400² (a number of 28 digits) contains 22 as substring.

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, 652209 + ... + 7175391.

It is an arithmetic number, because the mean of its divisors is an integer number (450442163160).

Almost surely, 2^{25530433625400} is an apocalyptic number.

25530433625400 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 25530433625400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43242447663360).

25530433625400 is an abundant number, since it is smaller than the sum of its proper divisors (60954461701320).

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

25530433625400 is a wasteful number, since it uses less digits than its factorization.

25530433625400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6523806 (or 6523797 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 42.

The spelling of 25530433625400 in words is "twenty-five trillion, five hundred thirty billion, four hundred thirty-three million, six hundred twenty-five thousand, four hundred".