211973718240 has 144 divisors (see below), whose sum is σ = 748303920000. Its totient is φ = 54577130496.

The previous prime is 211973718239. The next prime is 211973718247. The reversal of 211973718240 is 42817379112.

211973718240 is a `hidden beast` number, since 21 + 19 + 7 + 371 + 8 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211973718247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2496240 + ... + 2579759.

It is an arithmetic number, because the mean of its divisors is an integer number (5196555000).

Almost surely, 2^211973718240 is an apocalyptic number.

211973718240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211973718240 is an abundant number, since it is smaller than the sum of its proper divisors (536330201760).

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

211973718240 is a wasteful number, since it uses less digits than its factorization.

211973718240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5076049 (or 5076038 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 211973718240 in words is "two hundred eleven billion, nine hundred seventy-three million, seven hundred eighteen thousand, two hundred forty".