90741811200 has 1152 divisors, whose sum is σ = 350977536000. Its totient is φ = 20525875200.

The previous prime is 90741811189. The next prime is 90741811201. The reversal of 90741811200 is 211814709.

It is not an unprimeable number, because it can be changed into a prime (90741811201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1537996771 + ... + 1537996829.

It is an arithmetic number, because the mean of its divisors is an integer number (304668000).

Almost surely, 2^90741811200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90741811200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175488768000).

90741811200 is an abundant number, since it is smaller than the sum of its proper divisors (260235724800).

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

90741811200 is a wasteful number, since it uses less digits than its factorization.

90741811200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 33.

The spelling of 90741811200 in words is "ninety billion, seven hundred forty-one million, eight hundred eleven thousand, two hundred".