50442681600 has 162 divisors, whose sum is σ = 180344177286. Its totient is φ = 13451366400.

The previous prime is 50442681599. The next prime is 50442681607. The reversal of 50442681600 is 618624405.

50442681600 is a `hidden beast` number, since 5 + 0 + 4 + 42 + 6 + 8 + 1 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1115136 + 50441566464 = 1056^2 + 224592^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50442681607) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 380271 + ... + 495470.

Almost surely, 2^50442681600 is an apocalyptic number.

50442681600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

50442681600 is an abundant number, since it is smaller than the sum of its proper divisors (129901495686).

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

50442681600 is a wasteful number, since it uses less digits than its factorization.

50442681600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875773 (or 875751 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 50442681600 in words is "fifty billion, four hundred forty-two million, six hundred eighty-one thousand, six hundred".