21176416128 has 128 divisors (see below), whose sum is σ = 64482474240. Its totient is φ = 6031872000.

The previous prime is 21176416097. The next prime is 21176416133. The reversal of 21176416128 is 82161467112.

It is a tau number, because it is divible by the number of its divisors (128).

It is a nude number because it is divisible by every one of its digits.

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, 877828 + ... + 901628.

It is an arithmetic number, because the mean of its divisors is an integer number (503769330).

Almost surely, 2^21176416128 is an apocalyptic number.

21176416128 is a gapful number since it is divisible by the number (28) 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 21176416128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32241237120).

21176416128 is an abundant number, since it is smaller than the sum of its proper divisors (43306058112).

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

21176416128 is a wasteful number, since it uses less digits than its factorization.

21176416128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24156 (or 24144 counting only the distinct ones).

The product of its digits is 32256, while the sum is 39.

The spelling of 21176416128 in words is "twenty-one billion, one hundred seventy-six million, four hundred sixteen thousand, one hundred twenty-eight".