50585349906 has 256 divisors, whose sum is σ = 147938918400. Its totient is φ = 12432393216.

The previous prime is 50585349883. The next prime is 50585349961. The reversal of 50585349906 is 60994358505.

It is a happy number.

50585349906 is a `hidden beast` number, since 50 + 58 + 53 + 499 + 0 + 6 = 666.

It is a super-2 number, since 2×50585349906² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8601475 + ... + 8607353.

It is an arithmetic number, because the mean of its divisors is an integer number (577886400).

Almost surely, 2^50585349906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50585349906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73969459200).

50585349906 is an abundant number, since it is smaller than the sum of its proper divisors (97353568494).

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

50585349906 is a wasteful number, since it uses less digits than its factorization.

50585349906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6030 (or 6024 counting only the distinct ones).

The product of its (nonzero) digits is 5832000, while the sum is 54.

The spelling of 50585349906 in words is "fifty billion, five hundred eighty-five million, three hundred forty-nine thousand, nine hundred six".