21047146200 has 288 divisors, whose sum is σ = 73241026560. Its totient is φ = 5410886400.

The previous prime is 21047146177. The next prime is 21047146201. The reversal of 21047146200 is 264174012.

21047146200 is a `hidden beast` number, since 21 + 0 + 4 + 7 + 14 + 620 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21047146201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19362057 + ... + 19363143.

It is an arithmetic number, because the mean of its divisors is an integer number (254309120).

Almost surely, 2^21047146200 is an apocalyptic number.

21047146200 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 21047146200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36620513280).

21047146200 is an abundant number, since it is smaller than the sum of its proper divisors (52193880360).

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

21047146200 is a wasteful number, since it uses less digits than its factorization.

21047146200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1487 (or 1475 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 21047146200 in words is "twenty-one billion, forty-seven million, one hundred forty-six thousand, two hundred".