50302284800 has 132 divisors (see below), whose sum is σ = 125347119756. Its totient is φ = 20014694400.

The previous prime is 50302284761. The next prime is 50302284821. The reversal of 50302284800 is 848220305.

It can be written as a sum of positive squares in 6 ways, for example, as 2575765504 + 47726519296 = 50752^2 + 218464^2 .

It is a super-2 number, since 2×50302284800² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4935710 + ... + 4945890.

Almost surely, 2^50302284800 is an apocalyptic number.

50302284800 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 50302284800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62673559878).

50302284800 is an abundant number, since it is smaller than the sum of its proper divisors (75044834956).

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

50302284800 is a wasteful number, since it uses less digits than its factorization.

50302284800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10404 (or 10381 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The spelling of 50302284800 in words is "fifty billion, three hundred two million, two hundred eighty-four thousand, eight hundred".