5165916384 has 192 divisors, whose sum is σ = 14894530560. Its totient is φ = 1561628160.

The previous prime is 5165916383. The next prime is 5165916391. The reversal of 5165916384 is 4836195615.

It is a super-3 number, since 3×5165916384³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5165916383) 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, 5823589 + ... + 5824475.

It is an arithmetic number, because the mean of its divisors is an integer number (77575680).

Almost surely, 2^5165916384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5165916384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7447265280).

5165916384 is an abundant number, since it is smaller than the sum of its proper divisors (9728614176).

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

5165916384 is a wasteful number, since it uses less digits than its factorization.

5165916384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053 (or 1045 counting only the distinct ones).

The product of its digits is 777600, while the sum is 48.

The square root of 5165916384 is about 71874.3096245105. The cubic root of 5165916384 is about 1728.6847102188.

The spelling of 5165916384 in words is "five billion, one hundred sixty-five million, nine hundred sixteen thousand, three hundred eighty-four".