21214920320 has 384 divisors, whose sum is σ = 59738152320. Its totient is φ = 7181475840.

The previous prime is 21214920283. The next prime is 21214920341. The reversal of 21214920320 is 2302941212.

It is a self number, because there is not a number n which added to its sum of digits gives 21214920320.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 76588022 + ... + 76588298.

It is an arithmetic number, because the mean of its divisors is an integer number (155568105).

Almost surely, 2^21214920320 is an apocalyptic number.

21214920320 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 21214920320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29869076160).

21214920320 is an abundant number, since it is smaller than the sum of its proper divisors (38523232000).

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

21214920320 is a wasteful number, since it uses less digits than its factorization.

21214920320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The spelling of 21214920320 in words is "twenty-one billion, two hundred fourteen million, nine hundred twenty thousand, three hundred twenty".