21114366105000 has 320 divisors, whose sum is σ = 75489435648000. Its totient is φ = 4819411296000.

The previous prime is 21114366104981. The next prime is 21114366105037. The reversal of 21114366105000 is 50166341112.

It is a happy number.

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 79 ways as a sum of consecutive naturals, for example, 75355161 + ... + 75634839.

It is an arithmetic number, because the mean of its divisors is an integer number (235904486400).

Almost surely, 2^{21114366105000} is an apocalyptic number.

21114366105000 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 21114366105000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37744717824000).

21114366105000 is an abundant number, since it is smaller than the sum of its proper divisors (54375069543000).

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

21114366105000 is a wasteful number, since it uses less digits than its factorization.

21114366105000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280434 (or 280415 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The spelling of 21114366105000 in words is "twenty-one trillion, one hundred fourteen billion, three hundred sixty-six million, one hundred five thousand".