861756657168 has 160 divisors (see below), whose sum is σ = 2509169402880. Its totient is φ = 252558190080.

The previous prime is 861756657143. The next prime is 861756657253.

861756657168 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 861756657099 and 861756657108.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3130443 + ... + 3394581.

It is an arithmetic number, because the mean of its divisors is an integer number (15682308768).

Almost surely, 2^861756657168 is an apocalyptic number.

861756657168 is a gapful number since it is divisible by the number (88) 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 861756657168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1254584701440).

861756657168 is an abundant number, since it is smaller than the sum of its proper divisors (1647412745712).

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

861756657168 is a wasteful number, since it uses less digits than its factorization.

861756657168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264365 (or 264359 counting only the distinct ones).

The product of its digits is 101606400, while the sum is 66.

The spelling of 861756657168 in words is "eight hundred sixty-one billion, seven hundred fifty-six million, six hundred fifty-seven thousand, one hundred sixty-eight".