90903168000 has 704 divisors, whose sum is σ = 347944147200. Its totient is φ = 23379148800.

The previous prime is 90903167977. The next prime is 90903168001. The reversal of 90903168000 is 86130909.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90903168001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 100223547 + ... + 100224453.

Almost surely, 2^90903168000 is an apocalyptic number.

90903168000 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 90903168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173972073600).

90903168000 is an abundant number, since it is smaller than the sum of its proper divisors (257040979200).

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

90903168000 is a wasteful number, since it uses less digits than its factorization.

90903168000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 980 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

Adding to 90903168000 its reverse (86130909), we get a palindrome (90989298909).

The spelling of 90903168000 in words is "ninety billion, nine hundred three million, one hundred sixty-eight thousand".