211393696000 has 576 divisors, whose sum is σ = 578546841600. Its totient is φ = 76704768000.

The previous prime is 211393695977. The next prime is 211393696009. The reversal of 211393696000 is 696393112.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (211393696009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2546911959 + ... + 2546912041.

It is an arithmetic number, because the mean of its divisors is an integer number (1004421600).

Almost surely, 2^211393696000 is an apocalyptic number.

211393696000 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 211393696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289273420800).

211393696000 is an abundant number, since it is smaller than the sum of its proper divisors (367153145600).

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

211393696000 is an equidigital number, since it uses as much as digits as its factorization.

211393696000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 40.

The spelling of 211393696000 in words is "two hundred eleven billion, three hundred ninety-three million, six hundred ninety-six thousand".