21904908480 has 1344 divisors, whose sum is σ = 100651299840. Its totient is φ = 4244078592.

The previous prime is 21904908457. The next prime is 21904908607. The reversal of 21904908480 is 8480940912.

21904908480 is a `hidden beast` number, since 2 + 1 + 9 + 0 + 490 + 84 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 263914519 + ... + 263914601.

It is an arithmetic number, because the mean of its divisors is an integer number (74889360).

Almost surely, 2^21904908480 is an apocalyptic number.

21904908480 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 21904908480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50325649920).

21904908480 is an abundant number, since it is smaller than the sum of its proper divisors (78746391360).

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

21904908480 is a wasteful number, since it uses less digits than its factorization.

21904908480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 21904908480 in words is "twenty-one billion, nine hundred four million, nine hundred eight thousand, four hundred eighty".