21915432960 has 192 divisors, whose sum is σ = 73804348800. Its totient is φ = 5536382976.

The previous prime is 21915432923. The next prime is 21915432971. The reversal of 21915432960 is 6923451912.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 564907 + ... + 602453.

It is an arithmetic number, because the mean of its divisors is an integer number (384397650).

Almost surely, 2^21915432960 is an apocalyptic number.

21915432960 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 21915432960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36902174400).

21915432960 is an abundant number, since it is smaller than the sum of its proper divisors (51888915840).

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

21915432960 is a wasteful number, since it uses less digits than its factorization.

21915432960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37596 (or 37576 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The spelling of 21915432960 in words is "twenty-one billion, nine hundred fifteen million, four hundred thirty-two thousand, nine hundred sixty".