90835293319680 has 1920 divisors, whose sum is σ = 368564630353920. Its totient is φ = 19027964067840.

The previous prime is 90835293319643. The next prime is 90835293319681. The reversal of 90835293319680 is 8691339253809.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1920).

It is not an unprimeable number, because it can be changed into a prime (90835293319681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 149646281937 + ... + 149646282543.

It is an arithmetic number, because the mean of its divisors is an integer number (191960744976).

Almost surely, 2^{90835293319680} 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 90835293319680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184282315176960).

90835293319680 is an abundant number, since it is smaller than the sum of its proper divisors (277729337034240).

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

90835293319680 is a wasteful number, since it uses less digits than its factorization.

90835293319680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 75582720, while the sum is 66.

The spelling of 90835293319680 in words is "ninety trillion, eight hundred thirty-five billion, two hundred ninety-three million, three hundred nineteen thousand, six hundred eighty".