909999900000 has 1152 divisors, whose sum is σ = 3469817917440. Its totient is φ = 231840000000.

The previous prime is 909999899947. The next prime is 909999900023. The reversal of 909999900000 is 9999909.

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 a self number, because there is not a number n which added to its sum of digits gives 909999900000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9009899950 + ... + 9009900050.

It is an arithmetic number, because the mean of its divisors is an integer number (3011994720).

Almost surely, 2^909999900000 is an apocalyptic number.

909999900000 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 909999900000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1734908958720).

909999900000 is an abundant number, since it is smaller than the sum of its proper divisors (2559818017440).

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

909999900000 is a wasteful number, since it uses less digits than its factorization.

909999900000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 229 counting only the distinct ones).

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

It can be divided in two parts, 90999 and 9900000, that added together give a palindrome (9990999).

The spelling of 909999900000 in words is "nine hundred nine billion, nine hundred ninety-nine million, nine hundred thousand".