21738540192 has 96 divisors (see below), whose sum is σ = 59231337984. Its totient is φ = 6973516800.

The previous prime is 21738540191. The next prime is 21738540253. The reversal of 21738540192 is 29104583712.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (21738540191) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 518478 + ... + 558834.

It is an arithmetic number, because the mean of its divisors is an integer number (616993104).

Almost surely, 2^21738540192 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 21738540192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29615668992).

21738540192 is an abundant number, since it is smaller than the sum of its proper divisors (37492797792).

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

21738540192 is a wasteful number, since it uses less digits than its factorization.

21738540192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40582 (or 40574 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 21738540192 in words is "twenty-one billion, seven hundred thirty-eight million, five hundred forty thousand, one hundred ninety-two".