211872093840 has 240 divisors, whose sum is σ = 782640907776. Its totient is φ = 51362699520.

The previous prime is 211872093817. The next prime is 211872093847. The reversal of 211872093840 is 48390278112.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (211872093847) 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 47 ways as a sum of consecutive naturals, for example, 847777 + ... + 1068863.

Almost surely, 2^211872093840 is an apocalyptic number.

211872093840 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 211872093840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391320453888).

211872093840 is an abundant number, since it is smaller than the sum of its proper divisors (570768813936).

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

211872093840 is a wasteful number, since it uses less digits than its factorization.

211872093840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221139 (or 221108 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 211872093840 in words is "two hundred eleven billion, eight hundred seventy-two million, ninety-three thousand, eight hundred forty".