5016306400 has 288 divisors, whose sum is σ = 14502196800. Its totient is φ = 1693440000.

The previous prime is 5016306397. The next prime is 5016306409. The reversal of 5016306400 is 46036105.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5016306409) 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 47 ways as a sum of consecutive naturals, for example, 27714310 + ... + 27714490.

It is an arithmetic number, because the mean of its divisors is an integer number (50354850).

Almost surely, 2^5016306400 is an apocalyptic number.

5016306400 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 5016306400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7251098400).

5016306400 is an abundant number, since it is smaller than the sum of its proper divisors (9485890400).

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

5016306400 is a wasteful number, since it uses less digits than its factorization.

5016306400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 5016306400 is about 70825.8879224257. The cubic root of 5016306400 is about 1711.8328329803.

The spelling of 5016306400 in words is "five billion, sixteen million, three hundred six thousand, four hundred".