705312610128 has 200 divisors, whose sum is σ = 2333534189888. Its totient is φ = 201472178688.

The previous prime is 705312610087. The next prime is 705312610133. The reversal of 705312610128 is 821016213507.

705312610128 is a `hidden beast` number, since 7 + 0 + 5 + 3 + 12 + 610 + 1 + 28 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 705312610092 and 705312610101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 79039875 + ... + 79048797.

Almost surely, 2^705312610128 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 705312610128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1166767094944).

705312610128 is an abundant number, since it is smaller than the sum of its proper divisors (1628221579760).

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

705312610128 is a wasteful number, since it uses less digits than its factorization.

705312610128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17663 (or 17648 counting only the distinct ones).

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

The spelling of 705312610128 in words is "seven hundred five billion, three hundred twelve million, six hundred ten thousand, one hundred twenty-eight".