21966661200 has 240 divisors, whose sum is σ = 78024773952. Its totient is φ = 5237760000.

The previous prime is 21966661183. The next prime is 21966661201. The reversal of 21966661200 is 216666912.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21966661201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 791560 + ... + 818840.

Almost surely, 2^21966661200 is an apocalyptic number.

21966661200 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 21966661200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39012386976).

21966661200 is an abundant number, since it is smaller than the sum of its proper divisors (56058112752).

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

21966661200 is a wasteful number, since it uses less digits than its factorization.

21966661200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27374 (or 27363 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The spelling of 21966661200 in words is "twenty-one billion, nine hundred sixty-six million, six hundred sixty-one thousand, two hundred".