857584900111101 has 32 divisors (see below), whose sum is σ = 1180670238720000. Its totient is φ = 553278568518720.

The previous prime is 857584900111081. The next prime is 857584900111109. The reversal of 857584900111101 is 101111009485758.

It is a happy number.

It is not a de Polignac number, because 857584900111101 - 2¹⁴ = 857584900094717 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (857584900111109) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 143334100 + ... + 149197298.

It is an arithmetic number, because the mean of its divisors is an integer number (36895944960000).

Almost surely, 2^{857584900111101} is an apocalyptic number.

It is an amenable number.

857584900111101 is a deficient number, since it is larger than the sum of its proper divisors (323085338608899).

857584900111101 is a wasteful number, since it uses less digits than its factorization.

857584900111101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5870329.

The product of its (nonzero) digits is 403200, while the sum is 51.

Adding to 857584900111101 its reverse (101111009485758), we get a palindrome (958695909596859).

The spelling of 857584900111101 in words is "eight hundred fifty-seven trillion, five hundred eighty-four billion, nine hundred million, one hundred eleven thousand, one hundred one".