50085200 has 60 divisors (see below), whose sum is σ = 131280288. Its totient is φ = 18211200.

The previous prime is 50085187. The next prime is 50085223. The reversal of 50085200 is 258005.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1292 + ... + 10091.

Almost surely, 2^50085200 is an apocalyptic number.

50085200 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 50085200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65640144).

50085200 is an abundant number, since it is smaller than the sum of its proper divisors (81195088).

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

50085200 is a wasteful number, since it uses less digits than its factorization.

50085200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11412 (or 11401 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 50085200 is about 7077.0897973673. The cubic root of 50085200 is about 368.6122841099.

The spelling of 50085200 in words is "fifty million, eighty-five thousand, two hundred".