90786818304 has 1152 divisors, whose sum is σ = 350754324480. Its totient is φ = 22526263296.

The previous prime is 90786818279. The next prime is 90786818321. The reversal of 90786818304 is 40381868709.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1093817047 + ... + 1093817129.

It is an arithmetic number, because the mean of its divisors is an integer number (304474240).

Almost surely, 2^90786818304 is an apocalyptic number.

90786818304 is a gapful number since it is divisible by the number (94) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90786818304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175377162240).

90786818304 is an abundant number, since it is smaller than the sum of its proper divisors (259967506176).

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

90786818304 is a wasteful number, since it uses less digits than its factorization.

90786818304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 90786818304 in words is "ninety billion, seven hundred eighty-six million, eight hundred eighteen thousand, three hundred four".