90909009090900 has 1152 divisors, whose sum is σ = 403004992696320. Its totient is φ = 16965801216000.

The previous prime is 90909009090803. The next prime is 90909009090979. The reversal of 90909009090900 is 909090090909.

90909009090900 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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 congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 99545355 + ... + 100454445.

Almost surely, 2^{90909009090900} is an apocalyptic number.

90909009090900 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 90909009090900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201502496348160).

90909009090900 is an abundant number, since it is smaller than the sum of its proper divisors (312095983605420).

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

90909009090900 is a wasteful number, since it uses less digits than its factorization.

90909009090900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909182 (or 909169 counting only the distinct ones).

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

90909009090900 divided by its reverse (909090090909) gives a square (100 = 10²).

The spelling of 90909009090900 in words is "ninety trillion, nine hundred nine billion, nine million, ninety thousand, nine hundred".