9950572800 has 1296 divisors, whose sum is σ = 45074615040. Its totient is φ = 2043740160.

The previous prime is 9950572759. The next prime is 9950572873. The reversal of 9950572800 is 82750599.

It is a happy number.

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

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 2900 × 1332 × 2576.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 268934382 + ... + 268934418.

Almost surely, 2^9950572800 is an apocalyptic number.

9950572800 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 9950572800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22537307520).

9950572800 is an abundant number, since it is smaller than the sum of its proper divisors (35124042240).

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

9950572800 is a wasteful number, since it uses less digits than its factorization.

9950572800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The square root of 9950572800 is about 99752.5578619416. The cubic root of 9950572800 is about 2150.8792365677.

The spelling of 9950572800 in words is "nine billion, nine hundred fifty million, five hundred seventy-two thousand, eight hundred".