21143808000 has 1536 divisors, whose sum is σ = 98122752000. Its totient is φ = 4379443200.

The previous prime is 21143807989. The next prime is 21143808011. The reversal of 21143808000 is 80834112.

It is an interprime number because it is at equal distance from previous prime (21143807989) and next prime (21143808011).

It is a tau number, because it is divible by the number of its divisors (1536).

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 127 ways as a sum of consecutive naturals, for example, 919295989 + ... + 919296011.

It is an arithmetic number, because the mean of its divisors is an integer number (63882000).

Almost surely, 2^21143808000 is an apocalyptic number.

21143808000 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 21143808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49061376000).

21143808000 is an abundant number, since it is smaller than the sum of its proper divisors (76978944000).

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

21143808000 is a wasteful number, since it uses less digits than its factorization.

21143808000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 59 counting only the distinct ones).

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

The spelling of 21143808000 in words is "twenty-one billion, one hundred forty-three million, eight hundred eight thousand".