211948882992 has 720 divisors, whose sum is σ = 800758033920. Its totient is φ = 51601536000.

The previous prime is 211948882961. The next prime is 211948882997. The reversal of 211948882992 is 299288849112.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (211948882997) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 148944393 + ... + 148945815.

It is an arithmetic number, because the mean of its divisors is an integer number (1112163936).

Almost surely, 2^211948882992 is an apocalyptic number.

211948882992 is a gapful number since it is divisible by the number (22) 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 211948882992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400379016960).

211948882992 is an abundant number, since it is smaller than the sum of its proper divisors (588809150928).

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

211948882992 is a wasteful number, since it uses less digits than its factorization.

211948882992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1582 (or 1566 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 63.

The spelling of 211948882992 in words is "two hundred eleven billion, nine hundred forty-eight million, eight hundred eighty-two thousand, nine hundred ninety-two".