50083820100 has 288 divisors, whose sum is σ = 167269294080. Its totient is φ = 12842064000.

The previous prime is 50083820099. The next prime is 50083820147. The reversal of 50083820100 is 102838005.

It is a happy number.

50083820100 is a `hidden beast` number, since 500 + 8 + 38 + 20 + 100 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13641265 + ... + 13644935.

It is an arithmetic number, because the mean of its divisors is an integer number (580796160).

Almost surely, 2^50083820100 is an apocalyptic number.

50083820100 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 50083820100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83634647040).

50083820100 is an abundant number, since it is smaller than the sum of its proper divisors (117185473980).

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

50083820100 is a wasteful number, since it uses less digits than its factorization.

50083820100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3888 (or 3875 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 50083820100 in words is "fifty billion, eighty-three million, eight hundred twenty thousand, one hundred".