21214576160 has 96 divisors (see below), whose sum is σ = 52844218560. Its totient is φ = 8025965568.

The previous prime is 21214576153. The next prime is 21214576211. The reversal of 21214576160 is 6167541212.

It is a self number, because there is not a number n which added to its sum of digits gives 21214576160.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1949294 + ... + 1960146.

It is an arithmetic number, because the mean of its divisors is an integer number (550460610).

Almost surely, 2^21214576160 is an apocalyptic number.

21214576160 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 21214576160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26422109280).

21214576160 is an abundant number, since it is smaller than the sum of its proper divisors (31629642400).

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

21214576160 is a wasteful number, since it uses less digits than its factorization.

21214576160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11530 (or 11522 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

The spelling of 21214576160 in words is "twenty-one billion, two hundred fourteen million, five hundred seventy-six thousand, one hundred sixty".