50200405200 has 360 divisors, whose sum is σ = 191517090336. Its totient is φ = 12075648000.

The previous prime is 50200405139. The next prime is 50200405201. The reversal of 50200405200 is 250400205.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50200405201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5182762 + ... + 5192438.

Almost surely, 2^50200405200 is an apocalyptic number.

50200405200 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 50200405200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95758545168).

50200405200 is an abundant number, since it is smaller than the sum of its proper divisors (141316685136).

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

50200405200 is a wasteful number, since it uses less digits than its factorization.

50200405200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9843 (or 9829 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

Adding to 50200405200 its reverse (250400205), we get a palindrome (50450805405).

The spelling of 50200405200 in words is "fifty billion, two hundred million, four hundred five thousand, two hundred".