85133213132022 has 96 divisors (see below), whose sum is σ = 203053622372640. Its totient is φ = 25564411330560.

The previous prime is 85133213131949. The next prime is 85133213132041. The reversal of 85133213132022 is 22023131233158.

85133213132022 is a `hidden beast` number, since 8 + 5 + 1 + 3 + 321 + 3 + 1 + 320 + 2 + 2 = 666.

It is a super-2 number, since 2×85133213132022² (a number of 29 digits) contains 22 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 (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5486754 + ... + 14155242.

It is an arithmetic number, because the mean of its divisors is an integer number (2115141899715).

Almost surely, 2^{85133213132022} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85133213132022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101526811186320).

85133213132022 is an abundant number, since it is smaller than the sum of its proper divisors (117920409240618).

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

85133213132022 is a wasteful number, since it uses less digits than its factorization.

85133213132022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8668958 (or 8668955 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 85133213132022 in words is "eighty-five trillion, one hundred thirty-three billion, two hundred thirteen million, one hundred thirty-two thousand, twenty-two".