705227520000 has 480 divisors, whose sum is σ = 2404633271040. Its totient is φ = 183644160000.

The previous prime is 705227519989. The next prime is 705227520013. The reversal of 705227520000 is 25722507.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 705227520000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 165117865 + ... + 165122135.

It is an arithmetic number, because the mean of its divisors is an integer number (5009652648).

Almost surely, 2^705227520000 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 705227520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1202316635520).

705227520000 is an abundant number, since it is smaller than the sum of its proper divisors (1699405751040).

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

705227520000 is an equidigital number, since it uses as much as digits as its factorization.

705227520000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4359 (or 4324 counting only the distinct ones).

The product of its (nonzero) digits is 9800, while the sum is 30.

The spelling of 705227520000 in words is "seven hundred five billion, two hundred twenty-seven million, five hundred twenty thousand".