5067216000 has 768 divisors, whose sum is σ = 22737611520. Its totient is φ = 1050624000.

The previous prime is 5067215999. The next prime is 5067216017. The reversal of 5067216000 is 6127605.

5067216000 is a `hidden beast` number, since 50 + 6 + 7 + 2 + 1 + 600 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11087772 + ... + 11088228.

It is an arithmetic number, because the mean of its divisors is an integer number (29606265).

Almost surely, 2^5067216000 is an apocalyptic number.

5067216000 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 5067216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11368805760).

5067216000 is an abundant number, since it is smaller than the sum of its proper divisors (17670395520).

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

5067216000 is a wasteful number, since it uses less digits than its factorization.

5067216000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 5067216000 is about 71184.3803091661. The cubic root of 5067216000 is about 1717.6043808087.

The spelling of 5067216000 in words is "five billion, sixty-seven million, two hundred sixteen thousand".