506371998600 has 576 divisors, whose sum is σ = 1955724825600. Its totient is φ = 116460288000.

The previous prime is 506371998547. The next prime is 506371998623. The reversal of 506371998600 is 6899173605.

506371998600 is a `hidden beast` number, since 506 + 3 + 71 + 9 + 9 + 8 + 60 + 0 = 666.

506371998600 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 21024565 + ... + 21048635.

It is an arithmetic number, because the mean of its divisors is an integer number (3395355600).

Almost surely, 2^506371998600 is an apocalyptic number.

506371998600 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 506371998600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (977862412800).

506371998600 is an abundant number, since it is smaller than the sum of its proper divisors (1449352827000).

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

506371998600 is a wasteful number, since it uses less digits than its factorization.

506371998600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24166 (or 24154 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 506371998600 in words is "five hundred six billion, three hundred seventy-one million, nine hundred ninety-eight thousand, six hundred".