9999900900 has 288 divisors, whose sum is σ = 36597657600. Its totient is φ = 2318659200.

The previous prime is 9999900791. The next prime is 9999900913. The reversal of 9999900900 is 90099999.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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, 675781 + ... + 690419.

It is an arithmetic number, because the mean of its divisors is an integer number (127075200).

Almost surely, 2^9999900900 is an apocalyptic number.

9999900900 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 9999900900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18298828800).

9999900900 is an abundant number, since it is smaller than the sum of its proper divisors (26597756700).

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

9999900900 is a wasteful number, since it uses less digits than its factorization.

9999900900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14696 (or 14683 counting only the distinct ones).

The product of its (nonzero) digits is 531441, while the sum is 54.

The square root of 9999900900 is about 99999.5044987724. The cubic root of 9999900900 is about 2154.4275731924.

It can be divided in two parts, 99 and 99900900, that added together give a palindrome (99900999).

The spelling of 9999900900 in words is "nine billion, nine hundred ninety-nine million, nine hundred thousand, nine hundred".