54099439200 has 432 divisors, whose sum is σ = 198263310336. Its totient is φ = 13866163200.

The previous prime is 54099439181. The next prime is 54099439211. The reversal of 54099439200 is 293499045.

It is a happy number.

54099439200 is a `hidden beast` number, since 5 + 4 + 0 + 9 + 9 + 439 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent 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 71 ways as a sum of consecutive naturals, for example, 36380857 + ... + 36382343.

It is an arithmetic number, because the mean of its divisors is an integer number (458942848).

Almost surely, 2^54099439200 is an apocalyptic number.

54099439200 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 54099439200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99131655168).

54099439200 is an abundant number, since it is smaller than the sum of its proper divisors (144163871136).

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

54099439200 is a wasteful number, since it uses less digits than its factorization.

54099439200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1707 (or 1691 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 54099439200 in words is "fifty-four billion, ninety-nine million, four hundred thirty-nine thousand, two hundred".