50993841600 has 1344 divisors, whose sum is σ = 216944448000. Its totient is φ = 11690127360.

The previous prime is 50993841557. The next prime is 50993841641. The reversal of 50993841600 is 614839905.

It is a happy number.

50993841600 is a `hidden beast` number, since 5 + 0 + 9 + 9 + 38 + 4 + 1 + 600 = 666.

It is a super-2 number, since 2×50993841600² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 864302371 + ... + 864302429.

It is an arithmetic number, because the mean of its divisors is an integer number (161417000).

Almost surely, 2^50993841600 is an apocalyptic number.

50993841600 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 50993841600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108472224000).

50993841600 is an abundant number, since it is smaller than the sum of its proper divisors (165950606400).

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

50993841600 is a wasteful number, since it uses less digits than its factorization.

50993841600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 50993841600 in words is "fifty billion, nine hundred ninety-three million, eight hundred forty-one thousand, six hundred".