50689048012200 has 4032 divisors, whose sum is σ = 216154411013520. Its totient is φ = 10964533248000.

The previous prime is 50689048012181. The next prime is 50689048012201. The reversal of 50689048012200 is 221084098605.

50689048012200 is a `hidden beast` number, since 5 + 0 + 68 + 90 + 480 + 1 + 2 + 20 + 0 = 666.

It can be written as a sum of positive squares in 72 ways, for example, as 43465090953636 + 7223957058564 = 6592806^2 + 2687742^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (50689048012201) by changing a digit.

It is a polite number, since it can be written in 1007 ways as a sum of consecutive naturals, for example, 830968000170 + ... + 830968000230.

Almost surely, 2^{50689048012200} is an apocalyptic number.

50689048012200 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 50689048012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108077205506760).

50689048012200 is an abundant number, since it is smaller than the sum of its proper divisors (165465363001320).

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

50689048012200 is a wasteful number, since it uses less digits than its factorization.

50689048012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 50689048012200 in words is "fifty trillion, six hundred eighty-nine billion, forty-eight million, twelve thousand, two hundred".