5199765600 has 144 divisors (see below), whose sum is σ = 17000943120. Its totient is φ = 1380403200.

The previous prime is 5199765551. The next prime is 5199765601. The reversal of 5199765600 is 65679915.

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

It is a self number, because there is not a number n which added to its sum of digits gives 5199765600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5199765601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 544870 + ... + 554330.

It is an arithmetic number, because the mean of its divisors is an integer number (118062105).

Almost surely, 2^5199765600 is an apocalyptic number.

5199765600 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 5199765600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8500471560).

5199765600 is an abundant number, since it is smaller than the sum of its proper divisors (11801177520).

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

5199765600 is a wasteful number, since it uses less digits than its factorization.

5199765600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9713 (or 9700 counting only the distinct ones).

The product of its (nonzero) digits is 510300, while the sum is 48.

The square root of 5199765600 is about 72109.4002193889. The cubic root of 5199765600 is about 1732.4521786950.

The spelling of 5199765600 in words is "five billion, one hundred ninety-nine million, seven hundred sixty-five thousand, six hundred".