711668160000 has 1800 divisors, whose sum is σ = 3138678207720. Its totient is φ = 158699520000.

The previous prime is 711668159971. The next prime is 711668160017. The reversal of 711668160000 is 61866117.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (1800).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 17357759980 + ... + 17357760020.

Almost surely, 2^711668160000 is an apocalyptic number.

711668160000 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 711668160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1569339103860).

711668160000 is an abundant number, since it is smaller than the sum of its proper divisors (2427010047720).

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

711668160000 is an frugal number, since it uses more digits than its factorization.

711668160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 711668160000 in words is "seven hundred eleven billion, six hundred sixty-eight million, one hundred sixty thousand".