705142136307220 has 96 divisors (see below), whose sum is σ = 1521413329403520. Its totient is φ = 274361963581440.

The previous prime is 705142136307151. The next prime is 705142136307233. The reversal of 705142136307220 is 22703631241507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 957766764 + ... + 958502716.

It is an arithmetic number, because the mean of its divisors is an integer number (15848055514620).

Almost surely, 2^{705142136307220} 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 705142136307220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760706664701760).

705142136307220 is an abundant number, since it is smaller than the sum of its proper divisors (816271193096300).

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

705142136307220 is a wasteful number, since it uses less digits than its factorization.

705142136307220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 739465 (or 739463 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 43.

Adding to 705142136307220 its reverse (22703631241507), we get a palindrome (727845767548727).

The spelling of 705142136307220 in words is "seven hundred five trillion, one hundred forty-two billion, one hundred thirty-six million, three hundred seven thousand, two hundred twenty".