21993379200 has 960 divisors, whose sum is σ = 89666604720. Its totient is φ = 5275238400.

The previous prime is 21993379193. The next prime is 21993379279. The reversal of 21993379200 is 297339912.

It is a happy number.

21993379200 is a `hidden beast` number, since 21 + 99 + 337 + 9 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 205545547 + ... + 205545653.

Almost surely, 2^21993379200 is an apocalyptic number.

21993379200 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 21993379200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44833302360).

21993379200 is an abundant number, since it is smaller than the sum of its proper divisors (67673225520).

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

21993379200 is a wasteful number, since it uses less digits than its factorization.

21993379200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 45.

The spelling of 21993379200 in words is "twenty-one billion, nine hundred ninety-three million, three hundred seventy-nine thousand, two hundred".