5945552200 has 288 divisors, whose sum is σ = 17404243200. Its totient is φ = 1876815360.

The previous prime is 5945552159. The next prime is 5945552201. The reversal of 5945552200 is 22555495.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 5945552200.

It is not an unprimeable number, because it can be changed into a prime (5945552201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6888969 + ... + 6889831.

It is an arithmetic number, because the mean of its divisors is an integer number (60431400).

Almost surely, 2^5945552200 is an apocalyptic number.

5945552200 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 5945552200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8702121600).

5945552200 is an abundant number, since it is smaller than the sum of its proper divisors (11458691000).

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

5945552200 is a wasteful number, since it uses less digits than its factorization.

5945552200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 949 (or 933 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 37.

The square root of 5945552200 is about 77107.4069075079. The cubic root of 5945552200 is about 1811.6073143537.

The spelling of 5945552200 in words is "five billion, nine hundred forty-five million, five hundred fifty-two thousand, two hundred".