90264428533782 has 96 divisors (see below), whose sum is σ = 207453671043840. Its totient is φ = 28303784372160.

The previous prime is 90264428533733. The next prime is 90264428533859. The reversal of 90264428533782 is 28733582446209.

90264428533782 is a `hidden beast` number, since 9 + 0 + 2 + 6 + 4 + 4 + 28 + 533 + 78 + 2 = 666.

It is a super-3 number, since 3×90264428533782³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 165064969 + ... + 165610907.

It is an arithmetic number, because the mean of its divisors is an integer number (2160975740040).

Almost surely, 2^{90264428533782} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90264428533782, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103726835521920).

90264428533782 is an abundant number, since it is smaller than the sum of its proper divisors (117189242510058).

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

90264428533782 is a wasteful number, since it uses less digits than its factorization.

90264428533782 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552578 (or 552575 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 63.

The spelling of 90264428533782 in words is "ninety trillion, two hundred sixty-four billion, four hundred twenty-eight million, five hundred thirty-three thousand, seven hundred eighty-two".