5154422433200 has 240 divisors, whose sum is σ = 13396112281440. Its totient is φ = 1898883317760.

The previous prime is 5154422433179. The next prime is 5154422433239. The reversal of 5154422433200 is 23342244515.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58660499 + ... + 58748301.

It is an arithmetic number, because the mean of its divisors is an integer number (55817134506).

Almost surely, 2^{5154422433200} is an apocalyptic number.

5154422433200 is a gapful number since it is divisible by the number (50) 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 5154422433200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6698056140720).

5154422433200 is an abundant number, since it is smaller than the sum of its proper divisors (8241689848240).

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

5154422433200 is a wasteful number, since it uses less digits than its factorization.

5154422433200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88024 (or 88013 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 35.

Adding to 5154422433200 its reverse (23342244515), we get a palindrome (5177764677715).

The spelling of 5154422433200 in words is "five trillion, one hundred fifty-four billion, four hundred twenty-two million, four hundred thirty-three thousand, two hundred".