90706314711200 has 144 divisors (see below), whose sum is σ = 226164612288384. Its totient is φ = 35507982028800.

The previous prime is 90706314711197. The next prime is 90706314711203. The reversal of 90706314711200 is 211741360709.

90706314711200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (90706314711197) and next prime (90706314711203).

It is not an unprimeable number, because it can be changed into a prime (90706314711203) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 567341672 + ... + 567501528.

It is an arithmetic number, because the mean of its divisors is an integer number (1570587585336).

Almost surely, 2^{90706314711200} 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 90706314711200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113082306144192).

90706314711200 is an abundant number, since it is smaller than the sum of its proper divisors (135458297577184).

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

90706314711200 is a wasteful number, since it uses less digits than its factorization.

90706314711200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175015 (or 175002 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 41.

The spelling of 90706314711200 in words is "ninety trillion, seven hundred six billion, three hundred fourteen million, seven hundred eleven thousand, two hundred".