90986300845792 has 144 divisors (see below), whose sum is σ = 198362775562560. Its totient is φ = 41049025966080.

The previous prime is 90986300845673. The next prime is 90986300845799. The reversal of 90986300845792 is 29754800368909.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90986300845799) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5287126084 + ... + 5287143292.

It is an arithmetic number, because the mean of its divisors is an integer number (1377519274740).

Almost surely, 2^{90986300845792} 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 90986300845792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99181387781280).

90986300845792 is an abundant number, since it is smaller than the sum of its proper divisors (107376474716768).

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

90986300845792 is a wasteful number, since it uses less digits than its factorization.

90986300845792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27345 (or 27326 counting only the distinct ones).

The product of its (nonzero) digits is 235146240, while the sum is 70.

The spelling of 90986300845792 in words is "ninety trillion, nine hundred eighty-six billion, three hundred million, eight hundred forty-five thousand, seven hundred ninety-two".