5160032000 has 144 divisors (see below), whose sum is σ = 12977127072. Its totient is φ = 2044313600.

The previous prime is 5160031969. The next prime is 5160032021. The reversal of 5160032000 is 2300615.

It is a self number, because there is not a number n which added to its sum of digits gives 5160032000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3615287 + ... + 3616713.

It is an arithmetic number, because the mean of its divisors is an integer number (90118938).

Almost surely, 2^5160032000 is an apocalyptic number.

5160032000 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 5160032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6488563536).

5160032000 is an abundant number, since it is smaller than the sum of its proper divisors (7817095072).

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

5160032000 is a wasteful number, since it uses less digits than its factorization.

5160032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1571 (or 1547 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 5160032000 is about 71833.3627223451. The cubic root of 5160032000 is about 1728.0280916787.

Adding to 5160032000 its reverse (2300615), we get a palindrome (5162332615).

The spelling of 5160032000 in words is "five billion, one hundred sixty million, thirty-two thousand".