50809668000 has 1728 divisors, whose sum is σ = 231141351168. Its totient is φ = 9650995200.

The previous prime is 50809667999. The next prime is 50809668059. The reversal of 50809668000 is 86690805.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2209115989 + ... + 2209116011.

It is an arithmetic number, because the mean of its divisors is an integer number (133762356).

Almost surely, 2^50809668000 is an apocalyptic number.

50809668000 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 50809668000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115570675584).

50809668000 is an abundant number, since it is smaller than the sum of its proper divisors (180331683168).

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

50809668000 is a wasteful number, since it uses less digits than its factorization.

50809668000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The spelling of 50809668000 in words is "fifty billion, eight hundred nine million, six hundred sixty-eight thousand".