211660452960 has 768 divisors, whose sum is σ = 821444198400. Its totient is φ = 45143654400.

The previous prime is 211660452931. The next prime is 211660452967. The reversal of 211660452960 is 69254066112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211660452967) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 134728975 + ... + 134730545.

It is an arithmetic number, because the mean of its divisors is an integer number (1069588800).

Almost surely, 2^211660452960 is an apocalyptic number.

211660452960 is a gapful number since it is divisible by the number (20) 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 211660452960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410722099200).

211660452960 is an abundant number, since it is smaller than the sum of its proper divisors (609783745440).

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

211660452960 is a wasteful number, since it uses less digits than its factorization.

211660452960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1715 (or 1707 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The spelling of 211660452960 in words is "two hundred eleven billion, six hundred sixty million, four hundred fifty-two thousand, nine hundred sixty".