506199433320 has 768 divisors, whose sum is σ = 1998976320000. Its totient is φ = 115010025984.

The previous prime is 506199433307. The next prime is 506199433343. The reversal of 506199433320 is 23334991605.

506199433320 is a `hidden beast` number, since 5 + 0 + 6 + 199 + 433 + 3 + 20 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1153073661 + ... + 1153074099.

It is an arithmetic number, because the mean of its divisors is an integer number (2602833750).

Almost surely, 2^506199433320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506199433320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (999488160000).

506199433320 is an abundant number, since it is smaller than the sum of its proper divisors (1492776886680).

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

506199433320 is a wasteful number, since it uses less digits than its factorization.

506199433320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 45.

The spelling of 506199433320 in words is "five hundred six billion, one hundred ninety-nine million, four hundred thirty-three thousand, three hundred twenty".