5950368900 has 324 divisors, whose sum is σ = 22975318548. Its totient is φ = 1279918080.

The previous prime is 5950368889. The next prime is 5950368901. The reversal of 5950368900 is 98630595.

5950368900 is a `hidden beast` number, since 59 + 503 + 6 + 8 + 90 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 713530944 + 5236837956 = 26712^2 + 72366^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (5950368901) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 745732 + ... + 753668.

It is an arithmetic number, because the mean of its divisors is an integer number (70911477).

Almost surely, 2^5950368900 is an apocalyptic number.

5950368900 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 5950368900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11487659274).

5950368900 is an abundant number, since it is smaller than the sum of its proper divisors (17024949648).

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

5950368900 is a wasteful number, since it uses less digits than its factorization.

5950368900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7988 (or 7971 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The square root of 5950368900 is about 77138.6342891809. The cubic root of 5950368900 is about 1812.0963978071.

The spelling of 5950368900 in words is "five billion, nine hundred fifty million, three hundred sixty-eight thousand, nine hundred".