5309161200 has 810 divisors, whose sum is σ = 23226885656. Its totient is φ = 1142138880.

The previous prime is 5309161181. The next prime is 5309161201. The reversal of 5309161200 is 21619035.

5309161200 is a `hidden beast` number, since 530 + 9 + 1 + 6 + 120 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (810).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5309161201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 312303592 + ... + 312303608.

Almost surely, 2^5309161200 is an apocalyptic number.

5309161200 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 5309161200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11613442828).

5309161200 is an abundant number, since it is smaller than the sum of its proper divisors (17917724456).

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

5309161200 is an equidigital number, since it uses as much as digits as its factorization.

5309161200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 5309161200 is about 72863.9911067188. The cubic root of 5309161200 is about 1744.5173937636.

The spelling of 5309161200 in words is "five billion, three hundred nine million, one hundred sixty-one thousand, two hundred".