5365089600 has 336 divisors, whose sum is σ = 19133442048. Its totient is φ = 1308303360.

The previous prime is 5365089593. The next prime is 5365089601. The reversal of 5365089600 is 69805635.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5365089601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7924462 + ... + 7925138.

It is an arithmetic number, because the mean of its divisors is an integer number (56944768).

Almost surely, 2^5365089600 is an apocalyptic number.

5365089600 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 5365089600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9566721024).

5365089600 is an abundant number, since it is smaller than the sum of its proper divisors (13768352448).

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

5365089600 is a wasteful number, since it uses less digits than its factorization.

5365089600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The square root of 5365089600 is about 73246.7719425232. The cubic root of 5365089600 is about 1750.6217763351.

The spelling of 5365089600 in words is "five billion, three hundred sixty-five million, eighty-nine thousand, six hundred".