5016312000 has 672 divisors, whose sum is σ = 21140196480. Its totient is φ = 1111449600.

The previous prime is 5016311987. The next prime is 5016312001. The reversal of 5016312000 is 2136105.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (5016312001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18647866 + ... + 18648134.

Almost surely, 2^5016312000 is an apocalyptic number.

5016312000 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 5016312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10570098240).

5016312000 is an abundant number, since it is smaller than the sum of its proper divisors (16123884480).

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

5016312000 is a wasteful number, since it uses less digits than its factorization.

5016312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 5016312000 is about 70825.9274559818. The cubic root of 5016312000 is about 1711.8334699869.

Adding to 5016312000 its reverse (2136105), we get a palindrome (5018448105).

The spelling of 5016312000 in words is "five billion, sixteen million, three hundred twelve thousand".