21216142080 has 1440 divisors, whose sum is σ = 95732195328. Its totient is φ = 4379443200.

The previous prime is 21216142067. The next prime is 21216142097. The reversal of 21216142080 is 8024161212.

21216142080 is a `hidden beast` number, since 2 + 1 + 2 + 161 + 420 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 517466860 + ... + 517466900.

Almost surely, 2^21216142080 is an apocalyptic number.

21216142080 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 21216142080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47866097664).

21216142080 is an abundant number, since it is smaller than the sum of its proper divisors (74516053248).

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

21216142080 is a wasteful number, since it uses less digits than its factorization.

21216142080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 21216142080 in words is "twenty-one billion, two hundred sixteen million, one hundred forty-two thousand, eighty".