90782819860992 has 960 divisors, whose sum is σ = 309579349939200. Its totient is φ = 23464614297600.

The previous prime is 90782819860991. The next prime is 90782819861003. The reversal of 90782819860992 is 29906891828709.

It is not an unprimeable number, because it can be changed into a prime (90782819860991) 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, 5909947392 + ... + 5909962752.

It is an arithmetic number, because the mean of its divisors is an integer number (322478489520).

Almost surely, 2^{90782819860992} 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 90782819860992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154789674969600).

90782819860992 is an abundant number, since it is smaller than the sum of its proper divisors (218796530078208).

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

90782819860992 is a wasteful number, since it uses less digits than its factorization.

90782819860992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15593 (or 15570 counting only the distinct ones).

The product of its (nonzero) digits is 564350976, while the sum is 78.

The spelling of 90782819860992 in words is "ninety trillion, seven hundred eighty-two billion, eight hundred nineteen million, eight hundred sixty thousand, nine hundred ninety-two".