21416808000 has 224 divisors, whose sum is σ = 80821548288. Its totient is φ = 4895232000.

The previous prime is 21416807969. The next prime is 21416808031. The reversal of 21416808000 is 80861412.

It is an interprime number because it is at equal distance from previous prime (21416807969) and next prime (21416808031).

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-3 number, since 3×21416808000³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104260 + ... + 231740.

Almost surely, 2^21416808000 is an apocalyptic number.

21416808000 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 21416808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40410774144).

21416808000 is an abundant number, since it is smaller than the sum of its proper divisors (59404740288).

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

21416808000 is a wasteful number, since it uses less digits than its factorization.

21416808000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127518 (or 127498 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The spelling of 21416808000 in words is "twenty-one billion, four hundred sixteen million, eight hundred eight thousand".