25242112350400 has 168 divisors, whose sum is σ = 67761465421680. Its totient is φ = 9178461696000.

The previous prime is 25242112350319. The next prime is 25242112350451. The reversal of 25242112350400 is 405321124252.

It is a happy number.

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, 591004246 + ... + 591046954.

Almost surely, 2^{25242112350400} is an apocalyptic number.

25242112350400 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 25242112350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33880732710840).

25242112350400 is an abundant number, since it is smaller than the sum of its proper divisors (42519353071280).

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

25242112350400 is a wasteful number, since it uses less digits than its factorization.

25242112350400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76323 (or 76308 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 31.

Adding to 25242112350400 its reverse (405321124252), we get a palindrome (25647433474652).

The spelling of 25242112350400 in words is "twenty-five trillion, two hundred forty-two billion, one hundred twelve million, three hundred fifty thousand, four hundred".