21914948880 has 360 divisors, whose sum is σ = 85661064216. Its totient is φ = 4999864320.

The previous prime is 21914948879. The next prime is 21914948911. The reversal of 21914948880 is 8884941912.

It is a happy number.

21914948880 is a `hidden beast` number, since 2 + 19 + 149 + 488 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3357970704 + 18556978176 = 57948^2 + 136224^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1473642 + ... + 1488438.

Almost surely, 2^21914948880 is an apocalyptic number.

21914948880 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 21914948880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42830532108).

21914948880 is an abundant number, since it is smaller than the sum of its proper divisors (63746115336).

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

21914948880 is a wasteful number, since it uses less digits than its factorization.

21914948880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14855 (or 14835 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 54.

The spelling of 21914948880 in words is "twenty-one billion, nine hundred fourteen million, nine hundred forty-eight thousand, eight hundred eighty".