5165428320 has 960 divisors, whose sum is σ = 21638098944. Its totient is φ = 1149603840.

The previous prime is 5165428319. The next prime is 5165428321. The reversal of 5165428320 is 238245615.

5165428320 is a `hidden beast` number, since 5 + 16 + 542 + 83 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (5165428319) and next prime (5165428321).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5165428321) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 120126219 + ... + 120126261.

Almost surely, 2^5165428320 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 5165428320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10819049472).

5165428320 is an abundant number, since it is smaller than the sum of its proper divisors (16472670624).

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

5165428320 is a wasteful number, since it uses less digits than its factorization.

5165428320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 5165428320 is about 71870.9142838743. The cubic root of 5165428320 is about 1728.6302677744.

The spelling of 5165428320 in words is "five billion, one hundred sixty-five million, four hundred twenty-eight thousand, three hundred twenty".