211862772240 has 320 divisors, whose sum is σ = 786518802432. Its totient is φ = 46126080000.

The previous prime is 211862772193. The next prime is 211862772271. The reversal of 211862772240 is 42277268112.

It is a super-2 number, since 2×211862772240² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 211862772192 and 211862772201.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9300865 + ... + 9323615.

Almost surely, 2^211862772240 is an apocalyptic number.

211862772240 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 211862772240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393259401216).

211862772240 is an abundant number, since it is smaller than the sum of its proper divisors (574656030192).

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

211862772240 is a wasteful number, since it uses less digits than its factorization.

211862772240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23038 (or 23032 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

The spelling of 211862772240 in words is "two hundred eleven billion, eight hundred sixty-two million, seven hundred seventy-two thousand, two hundred forty".