54099133200 has 480 divisors, whose sum is σ = 231648665600. Its totient is φ = 11714388480.

The previous prime is 54099133163. The next prime is 54099133279. The reversal of 54099133200 is 233199045.

It is a happy number.

54099133200 is a `hidden beast` number, since 540 + 9 + 91 + 3 + 3 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1417569 + ... + 1455231.

Almost surely, 2^54099133200 is an apocalyptic number.

54099133200 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 54099133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115824332800).

54099133200 is an abundant number, since it is smaller than the sum of its proper divisors (177549532400).

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

54099133200 is a wasteful number, since it uses less digits than its factorization.

54099133200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37716 (or 37699 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The spelling of 54099133200 in words is "fifty-four billion, ninety-nine million, one hundred thirty-three thousand, two hundred".