705386495520 has 384 divisors, whose sum is σ = 2822817876480. Its totient is φ = 161158533120.

The previous prime is 705386495491. The next prime is 705386495521. The reversal of 705386495520 is 25594683507.

705386495520 is a `hidden beast` number, since 7 + 0 + 5 + 3 + 86 + 4 + 9 + 552 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (705386495521) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 96189774 + ... + 96197106.

It is an arithmetic number, because the mean of its divisors is an integer number (7351088220).

Almost surely, 2^705386495520 is an apocalyptic number.

705386495520 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 705386495520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1411408938240).

705386495520 is an abundant number, since it is smaller than the sum of its proper divisors (2117431380960).

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

705386495520 is a wasteful number, since it uses less digits than its factorization.

705386495520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10545 (or 10531 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 705386495520 in words is "seven hundred five billion, three hundred eighty-six million, four hundred ninety-five thousand, five hundred twenty".