254105112400 has 120 divisors (see below), whose sum is σ = 614725099520. Its totient is φ = 100938424320.

The previous prime is 254105112389. The next prime is 254105112403. The reversal of 254105112400 is 4211501452.

254105112400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (254105112403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49637041 + ... + 49642159.

Almost surely, 2^254105112400 is an apocalyptic number.

254105112400 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 254105112400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307362549760).

254105112400 is an abundant number, since it is smaller than the sum of its proper divisors (360619987120).

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

254105112400 is a wasteful number, since it uses less digits than its factorization.

254105112400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5973 (or 5962 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

Adding to 254105112400 its reverse (4211501452), we get a palindrome (258316613852).

The spelling of 254105112400 in words is "two hundred fifty-four billion, one hundred five million, one hundred twelve thousand, four hundred".