50542764199200 has 864 divisors, whose sum is σ = 227479957600896. Its totient is φ = 10663964098560.

The previous prime is 50542764199181. The next prime is 50542764199223. The reversal of 50542764199200 is 299146724505.

It is a happy number.

50542764199200 is a `hidden beast` number, since 5 + 0 + 5 + 427 + 6 + 4 + 1 + 9 + 9 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 16261864 + ... + 19118936.

It is an arithmetic number, because the mean of its divisors is an integer number (263286987964).

Almost surely, 2^{50542764199200} is an apocalyptic number.

50542764199200 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 50542764199200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113739978800448).

50542764199200 is an abundant number, since it is smaller than the sum of its proper divisors (176937193401696).

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

50542764199200 is a wasteful number, since it uses less digits than its factorization.

50542764199200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2857128 (or 2857103 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 50542764199200 in words is "fifty trillion, five hundred forty-two billion, seven hundred sixty-four million, one hundred ninety-nine thousand, two hundred".