211421926166880 has 768 divisors, whose sum is σ = 790118178296832. Its totient is φ = 46847324160000.

The previous prime is 211421926166851. The next prime is 211421926166887. The reversal of 211421926166880 is 88661629124112.

It is a super-2 number, since 2×211421926166880² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 211421926166880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211421926166887) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2853121830 + ... + 2853195930.

It is an arithmetic number, because the mean of its divisors is an integer number (1028799711324).

Almost surely, 2^{211421926166880} is an apocalyptic number.

211421926166880 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 211421926166880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395059089148416).

211421926166880 is an abundant number, since it is smaller than the sum of its proper divisors (578696252129952).

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

211421926166880 is a wasteful number, since it uses less digits than its factorization.

211421926166880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74551 (or 74543 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 57.

The spelling of 211421926166880 in words is "two hundred eleven trillion, four hundred twenty-one billion, nine hundred twenty-six million, one hundred sixty-six thousand, eight hundred eighty".