21216948480 has 864 divisors, whose sum is σ = 92960335104. Its totient is φ = 4347592704.

The previous prime is 21216948457. The next prime is 21216948503. The reversal of 21216948480 is 8484961212.

21216948480 is a `hidden beast` number, since 2 + 1 + 2 + 169 + 4 + 8 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (21216948457) and next prime (21216948503).

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 95 ways as a sum of consecutive naturals, for example, 38787567 + ... + 38788113.

Almost surely, 2^21216948480 is an apocalyptic number.

21216948480 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 21216948480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46480167552).

21216948480 is an abundant number, since it is smaller than the sum of its proper divisors (71743386624).

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

21216948480 is a wasteful number, since it uses less digits than its factorization.

21216948480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 21216948480 in words is "twenty-one billion, two hundred sixteen million, nine hundred forty-eight thousand, four hundred eighty".