21199201632 has 288 divisors, whose sum is σ = 72213573600. Its totient is φ = 6032710656.

The previous prime is 21199201631. The next prime is 21199201643. The reversal of 21199201632 is 23610299112.

21199201632 is a `hidden beast` number, since 2 + 1 + 19 + 9 + 2 + 0 + 1 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×21199201632² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21199201631) 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, 12403594 + ... + 12405302.

It is an arithmetic number, because the mean of its divisors is an integer number (250741575).

Almost surely, 2^21199201632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21199201632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36106786800).

21199201632 is an abundant number, since it is smaller than the sum of its proper divisors (51014371968).

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

21199201632 is a wasteful number, since it uses less digits than its factorization.

21199201632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2035 (or 2014 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The spelling of 21199201632 in words is "twenty-one billion, one hundred ninety-nine million, two hundred one thousand, six hundred thirty-two".