705130553345100 has 288 divisors, whose sum is σ = 2134819736125440. Its totient is φ = 179482811040000.

The previous prime is 705130553345083. The next prime is 705130553345111. The reversal of 705130553345100 is 1543355031507.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 721721925 + ... + 722698275.

Almost surely, 2^{705130553345100} 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 705130553345100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1067409868062720).

705130553345100 is an abundant number, since it is smaller than the sum of its proper divisors (1429689182780340).

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

705130553345100 is a wasteful number, since it uses less digits than its factorization.

705130553345100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 977461 (or 977454 counting only the distinct ones).

The product of its (nonzero) digits is 472500, while the sum is 42.

The spelling of 705130553345100 in words is "seven hundred five trillion, one hundred thirty billion, five hundred fifty-three million, three hundred forty-five thousand, one hundred".