705580869120 has 160 divisors (see below), whose sum is σ = 2287425381120. Its totient is φ = 185504686080.

The previous prime is 705580869041. The next prime is 705580869137. The reversal of 705580869120 is 21968085507.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

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, 101710 + ... + 1192269.

It is an arithmetic number, because the mean of its divisors is an integer number (14296408632).

Almost surely, 2^705580869120 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 705580869120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1143712690560).

705580869120 is an abundant number, since it is smaller than the sum of its proper divisors (1581844512000).

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

705580869120 is a wasteful number, since it uses less digits than its factorization.

705580869120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1294076 (or 1294060 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 51.

The spelling of 705580869120 in words is "seven hundred five billion, five hundred eighty million, eight hundred sixty-nine thousand, one hundred twenty".