21960511104 has 192 divisors, whose sum is σ = 70047072000. Its totient is φ = 6071869440.

The previous prime is 21960511091. The next prime is 21960511121. The reversal of 21960511104 is 40111506912.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 564472 + ... + 602120.

It is an arithmetic number, because the mean of its divisors is an integer number (364828500).

Almost surely, 2^21960511104 is an apocalyptic number.

21960511104 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 21960511104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35023536000).

21960511104 is an abundant number, since it is smaller than the sum of its proper divisors (48086560896).

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

21960511104 is a wasteful number, since it uses less digits than its factorization.

21960511104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37711 (or 37692 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 30.

The spelling of 21960511104 in words is "twenty-one billion, nine hundred sixty million, five hundred eleven thousand, one hundred four".