21812267640460 has 192 divisors, whose sum is σ = 52700126169600. Its totient is φ = 7499974809600.

The previous prime is 21812267640391. The next prime is 21812267640469. The reversal of 21812267640460 is 6404676221812.

It is not an unprimeable number, because it can be changed into a prime (21812267640469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9317498890 + ... + 9317501230.

It is an arithmetic number, because the mean of its divisors is an integer number (274479823800).

Almost surely, 2^{21812267640460} is an apocalyptic number.

21812267640460 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 21812267640460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26350063084800).

21812267640460 is an abundant number, since it is smaller than the sum of its proper divisors (30887858529140).

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

21812267640460 is a wasteful number, since it uses less digits than its factorization.

21812267640460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5672 (or 5670 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 49.

The spelling of 21812267640460 in words is "twenty-one trillion, eight hundred twelve billion, two hundred sixty-seven million, six hundred forty thousand, four hundred sixty".