2853538353582 has 128 divisors (see below), whose sum is σ = 6732771840000. Its totient is φ = 789469963776.

The previous prime is 2853538353481. The next prime is 2853538353593.

2853538353582 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2853538353582² (a number of 26 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 (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52045419 + ... + 52100217.

It is an arithmetic number, because the mean of its divisors is an integer number (52599780000).

Almost surely, 2^{2853538353582} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2853538353582, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3366385920000).

2853538353582 is an abundant number, since it is smaller than the sum of its proper divisors (3879233486418).

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

2853538353582 is a wasteful number, since it uses less digits than its factorization.

2853538353582 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55170.

The product of its digits is 103680000, while the sum is 60.

The spelling of 2853538353582 in words is "two trillion, eight hundred fifty-three billion, five hundred thirty-eight million, three hundred fifty-three thousand, five hundred eighty-two".