10682781616 has 80 divisors (see below), whose sum is σ = 23633209600. Its totient is φ = 4637170944.

The previous prime is 10682781607. The next prime is 10682781631. The reversal of 10682781616 is 61618728601.

It is a super-2 number, since 2×10682781616² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 539605 + ... + 559051.

It is an arithmetic number, because the mean of its divisors is an integer number (295415120).

Almost surely, 2^10682781616 is an apocalyptic number.

10682781616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10682781616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11816604800).

10682781616 is an abundant number, since it is smaller than the sum of its proper divisors (12950427984).

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

10682781616 is a wasteful number, since it uses less digits than its factorization.

10682781616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19626 (or 19620 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 46.

The spelling of 10682781616 in words is "ten billion, six hundred eighty-two million, seven hundred eighty-one thousand, six hundred sixteen".