8257881816 has 96 divisors (see below), whose sum is σ = 22678110000. Its totient is φ = 2714234112.

The previous prime is 8257881787. The next prime is 8257881829. The reversal of 8257881816 is 6181887528.

It is a super-2 number, since 2×8257881816² (a number of 21 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 (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4236010 + ... + 4237958.

Almost surely, 2^8257881816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8257881816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11339055000).

8257881816 is an abundant number, since it is smaller than the sum of its proper divisors (14420228184).

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

8257881816 is a wasteful number, since it uses less digits than its factorization.

8257881816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2753 (or 2746 counting only the distinct ones).

The product of its digits is 1720320, while the sum is 54.

The square root of 8257881816 is about 90872.8882340602. Note that the first 3 decimals coincide. The cubic root of 8257881816 is about 2021.2632865139.

The spelling of 8257881816 in words is "eight billion, two hundred fifty-seven million, eight hundred eighty-one thousand, eight hundred sixteen".