705325509120 has 160 divisors (see below), whose sum is σ = 2332591240320. Its totient is φ = 181600993280.

The previous prime is 705325509107. The next prime is 705325509143. The reversal of 705325509120 is 21905523507.

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

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, 1360716 + ... + 1806155.

It is an arithmetic number, because the mean of its divisors is an integer number (14578695252).

Almost surely, 2^705325509120 is an apocalyptic number.

It is an amenable number.

705325509120 is an abundant number, since it is smaller than the sum of its proper divisors (1627265731200).

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

705325509120 is a wasteful number, since it uses less digits than its factorization.

705325509120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3166926 (or 3166910 counting only the distinct ones).

The product of its (nonzero) digits is 94500, while the sum is 39.

The spelling of 705325509120 in words is "seven hundred five billion, three hundred twenty-five million, five hundred nine thousand, one hundred twenty".