861706460160 has 2464 divisors, whose sum is σ = 3969275143680. Its totient is φ = 174572568576.

The previous prime is 861706460137. The next prime is 861706460161. The reversal of 861706460160 is 61064607168.

861706460160 is a `hidden beast` number, since 8 + 6 + 170 + 6 + 460 + 16 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (861706460161) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 14605194211 + ... + 14605194269.

It is an arithmetic number, because the mean of its divisors is an integer number (1610907120).

Almost surely, 2^861706460160 is an apocalyptic number.

861706460160 is a gapful number since it is divisible by the number (80) 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 861706460160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1984637571840).

861706460160 is an abundant number, since it is smaller than the sum of its proper divisors (3107568683520).

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

861706460160 is a wasteful number, since it uses less digits than its factorization.

861706460160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 861706460160 in words is "eight hundred sixty-one billion, seven hundred six million, four hundred sixty thousand, one hundred sixty".