9869290200 has 576 divisors, whose sum is σ = 42674411520. Its totient is φ = 1983744000.

The previous prime is 9869290147. The next prime is 9869290217. The reversal of 9869290200 is 20929689.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4295452 + ... + 4297748.

It is an arithmetic number, because the mean of its divisors is an integer number (74087520).

Almost surely, 2^9869290200 is an apocalyptic number.

9869290200 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 9869290200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21337205760).

9869290200 is an abundant number, since it is smaller than the sum of its proper divisors (32805121320).

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

9869290200 is a wasteful number, since it uses less digits than its factorization.

9869290200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2368 (or 2356 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 9869290200 is about 99344.3012960482. The cubic root of 9869290200 is about 2145.0066343707.

The spelling of 9869290200 in words is "nine billion, eight hundred sixty-nine million, two hundred ninety thousand, two hundred".