9050950800 has 480 divisors, whose sum is σ = 34097817600. Its totient is φ = 2275637760.

The previous prime is 9050950723. The next prime is 9050950819. The reversal of 9050950800 is 80590509.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20616981 + ... + 20617419.

It is an arithmetic number, because the mean of its divisors is an integer number (71037120).

Almost surely, 2^9050950800 is an apocalyptic number.

9050950800 is a gapful number since it is divisible by the number (90) 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 9050950800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17048908800).

9050950800 is an abundant number, since it is smaller than the sum of its proper divisors (25046866800).

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

9050950800 is a wasteful number, since it uses less digits than its factorization.

9050950800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

The square root of 9050950800 is about 95136.4851148076. The cubic root of 9050950800 is about 2084.0016958859.

The spelling of 9050950800 in words is "nine billion, fifty million, nine hundred fifty thousand, eight hundred".