21893214600 has 240 divisors, whose sum is σ = 76514098320. Its totient is φ = 5801673600.

The previous prime is 21893214587. The next prime is 21893214641. The reversal of 21893214600 is 641239812.

21893214600 is a `hidden beast` number, since 2 + 1 + 8 + 9 + 32 + 14 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2636455 + ... + 2644745.

It is an arithmetic number, because the mean of its divisors is an integer number (318808743).

Almost surely, 2^21893214600 is an apocalyptic number.

21893214600 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 21893214600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38257049160).

21893214600 is an abundant number, since it is smaller than the sum of its proper divisors (54620883720).

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

21893214600 is a wasteful number, since it uses less digits than its factorization.

21893214600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8482 (or 8464 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 21893214600 in words is "twenty-one billion, eight hundred ninety-three million, two hundred fourteen thousand, six hundred".