50385837600 has 1296 divisors, whose sum is σ = 226731488256. Its totient is φ = 10450944000.

The previous prime is 50385837599. The next prime is 50385837611. The reversal of 50385837600 is 673858305.

50385837600 is a `hidden beast` number, since 5 + 0 + 3 + 8 + 5 + 8 + 37 + 600 = 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 polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 185925465 + ... + 185925735.

It is an arithmetic number, because the mean of its divisors is an integer number (174947136).

Almost surely, 2^50385837600 is an apocalyptic number.

50385837600 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 50385837600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113365744128).

50385837600 is an abundant number, since it is smaller than the sum of its proper divisors (176345650656).

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

50385837600 is a wasteful number, since it uses less digits than its factorization.

50385837600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 50385837600 in words is "fifty billion, three hundred eighty-five million, eight hundred thirty-seven thousand, six hundred".