50850201600 has 1152 divisors, whose sum is σ = 216160644000. Its totient is φ = 11678515200.

The previous prime is 50850201547. The next prime is 50850201607. The reversal of 50850201600 is 610205805.

50850201600 is a `hidden beast` number, since 5 + 0 + 8 + 50 + 2 + 0 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (50850201607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2676326391 + ... + 2676326409.

Almost surely, 2^50850201600 is an apocalyptic number.

50850201600 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 50850201600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108080322000).

50850201600 is an abundant number, since it is smaller than the sum of its proper divisors (165310442400).

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

50850201600 is a wasteful number, since it uses less digits than its factorization.

50850201600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The spelling of 50850201600 in words is "fifty billion, eight hundred fifty million, two hundred one thousand, six hundred".