705861000216 has 160 divisors (see below), whose sum is σ = 2004315999840. Its totient is φ = 232060557312.

The previous prime is 705861000211. The next prime is 705861000301. The reversal of 705861000216 is 612000168507.

705861000216 is a `hidden beast` number, since 70 + 586 + 1 + 0 + 0 + 0 + 2 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (705861000211) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18397645 + ... + 18435971.

It is an arithmetic number, because the mean of its divisors is an integer number (12526974999).

Almost surely, 2^705861000216 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 705861000216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1002157999920).

705861000216 is an abundant number, since it is smaller than the sum of its proper divisors (1298454999624).

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

705861000216 is a wasteful number, since it uses less digits than its factorization.

705861000216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38735 (or 38722 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 705861000216 in words is "seven hundred five billion, eight hundred sixty-one million, two hundred sixteen", and thus it is an aban number.