50065516800 has 2160 divisors, whose sum is σ = 231851410560. Its totient is φ = 10510663680.

The previous prime is 50065516771. The next prime is 50065516807. The reversal of 50065516800 is 861556005.

50065516800 is a `hidden beast` number, since 5 + 0 + 0 + 65 + 516 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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

It is not an unprimeable number, because it can be changed into a prime (50065516807) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2176761589 + ... + 2176761611.

It is an arithmetic number, because the mean of its divisors is an integer number (107338616).

Almost surely, 2^50065516800 is an apocalyptic number.

50065516800 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 50065516800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115925705280).

50065516800 is an abundant number, since it is smaller than the sum of its proper divisors (181785893760).

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

50065516800 is a wasteful number, since it uses less digits than its factorization.

50065516800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 50065516800 in words is "fifty billion, sixty-five million, five hundred sixteen thousand, eight hundred".