211918049280 has 832 divisors, whose sum is σ = 878117137920. Its totient is φ = 47478472704.

The previous prime is 211918049249. The next prime is 211918049293. The reversal of 211918049280 is 82940819112.

211918049280 is a `hidden beast` number, since 2 + 1 + 1 + 9 + 1 + 80 + 492 + 80 = 666.

It is a super-2 number, since 2×211918049280² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

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, 205147644 + ... + 205148676.

Almost surely, 2^211918049280 is an apocalyptic number.

211918049280 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 211918049280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439058568960).

211918049280 is an abundant number, since it is smaller than the sum of its proper divisors (666199088640).

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

211918049280 is a wasteful number, since it uses less digits than its factorization.

211918049280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1131 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The spelling of 211918049280 in words is "two hundred eleven billion, nine hundred eighteen million, forty-nine thousand, two hundred eighty".