211968546240 has 224 divisors, whose sum is σ = 757866424320. Its totient is φ = 49728614400.

The previous prime is 211968546211. The next prime is 211968546269. The reversal of 211968546240 is 42645869112.

It is an interprime number because it is at equal distance from previous prime (211968546211) and next prime (211968546269).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 211968546240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3606 + ... + 651114.

Almost surely, 2^211968546240 is an apocalyptic number.

211968546240 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 211968546240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378933212160).

211968546240 is an abundant number, since it is smaller than the sum of its proper divisors (545897878080).

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

211968546240 is a wasteful number, since it uses less digits than its factorization.

211968546240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647571 (or 647561 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The spelling of 211968546240 in words is "two hundred eleven billion, nine hundred sixty-eight million, five hundred forty-six thousand, two hundred forty".