9821290500 has 600 divisors, whose sum is σ = 37750376664. Its totient is φ = 2222640000.

The previous prime is 9821290489. The next prime is 9821290517. The reversal of 9821290500 is 50921289.

It can be written as a sum of positive squares in 4 ways, for example, as 63011844 + 9758278656 = 7938^2 + 98784^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 97240450 + ... + 97240550.

Almost surely, 2^9821290500 is an apocalyptic number.

9821290500 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 9821290500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18875188332).

9821290500 is an abundant number, since it is smaller than the sum of its proper divisors (27929086164).

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

9821290500 is a wasteful number, since it uses less digits than its factorization.

9821290500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 9821290500 is about 99102.4242892171. The cubic root of 9821290500 is about 2141.5235387770.

The spelling of 9821290500 in words is "nine billion, eight hundred twenty-one million, two hundred ninety thousand, five hundred".