5116672000 has 384 divisors, whose sum is σ = 14718412800. Its totient is φ = 1757184000.

The previous prime is 5116671997. The next prime is 5116672003. The reversal of 5116672000 is 2766115.

It is an interprime number because it is at equal distance from previous prime (5116671997) and next prime (5116672003).

It is a self number, because there is not a number n which added to its sum of digits gives 5116672000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5116672003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64767961 + ... + 64768039.

It is an arithmetic number, because the mean of its divisors is an integer number (38329200).

Almost surely, 2^5116672000 is an apocalyptic number.

5116672000 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 5116672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7359206400).

5116672000 is an abundant number, since it is smaller than the sum of its proper divisors (9601740800).

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

5116672000 is a wasteful number, since it uses less digits than its factorization.

5116672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 5116672000 is about 71530.9163928437. The cubic root of 5116672000 is about 1723.1742357390.

The spelling of 5116672000 in words is "five billion, one hundred sixteen million, six hundred seventy-two thousand".