21199195584 has 672 divisors, whose sum is σ = 78136414720. Its totient is φ = 5562888192.

The previous prime is 21199195559. The next prime is 21199195631. The reversal of 21199195584 is 48559199112.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 21199195584.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 76531254 + ... + 76531530.

Almost surely, 2^21199195584 is an apocalyptic number.

21199195584 is a gapful number since it is divisible by the number (24) 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 21199195584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39068207360).

21199195584 is an abundant number, since it is smaller than the sum of its proper divisors (56937219136).

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

21199195584 is a wasteful number, since it uses less digits than its factorization.

21199195584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 345 counting only the distinct ones).

The product of its digits is 1166400, while the sum is 54.

The spelling of 21199195584 in words is "twenty-one billion, one hundred ninety-nine million, one hundred ninety-five thousand, five hundred eighty-four".