21222492480 has 672 divisors, whose sum is σ = 87479648256. Its totient is φ = 4796983296.

The previous prime is 21222492479. The next prime is 21222492503. The reversal of 21222492480 is 8429422212.

21222492480 is a `hidden beast` number, since 2 + 122 + 2 + 492 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 69128487 + ... + 69128793.

It is an arithmetic number, because the mean of its divisors is an integer number (130178048).

Almost surely, 2^21222492480 is an apocalyptic number.

21222492480 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 21222492480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43739824128).

21222492480 is an abundant number, since it is smaller than the sum of its proper divisors (66257155776).

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

21222492480 is a wasteful number, since it uses less digits than its factorization.

21222492480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

It can be divided in two parts, 212224 and 92480, that added together give a square (304704 = 552²).

The spelling of 21222492480 in words is "twenty-one billion, two hundred twenty-two million, four hundred ninety-two thousand, four hundred eighty".