2160711211008 has 384 divisors, whose sum is σ = 6908596531200. Its totient is φ = 587157897216.

The previous prime is 2160711210971. The next prime is 2160711211013. The reversal of 2160711211008 is 8001121170612.

It is a tau number, because it is divible by the number of its divisors (384).

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 31 ways as a sum of consecutive naturals, for example, 177057835 + ... + 177070037.

It is an arithmetic number, because the mean of its divisors is an integer number (17991136800).

Almost surely, 2^{2160711211008} is an apocalyptic number.

2160711211008 is a gapful number since it is divisible by the number (28) 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 2160711211008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3454298265600).

2160711211008 is an abundant number, since it is smaller than the sum of its proper divisors (4747885320192).

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

2160711211008 is a wasteful number, since it uses less digits than its factorization.

2160711211008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12437 (or 12417 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 30.

The spelling of 2160711211008 in words is "two trillion, one hundred sixty billion, seven hundred eleven million, two hundred eleven thousand, eight".