21516441788160 has 2592 divisors, whose sum is σ = 90381873254400. Its totient is φ = 4703521996800.

The previous prime is 21516441788159. The next prime is 21516441788161. The reversal of 21516441788160 is 6188714461512.

21516441788160 is a `hidden beast` number, since 2 + 1 + 5 + 1 + 64 + 417 + 8 + 8 + 160 = 666.

It is an interprime number because it is at equal distance from previous prime (21516441788159) and next prime (21516441788161).

It is a junction number, because it is equal to n+sod(n) for n = 21516441788097 and 21516441788106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21516441788161) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 59934378061 + ... + 59934378419.

Almost surely, 2^{21516441788160} is an apocalyptic number.

21516441788160 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 21516441788160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45190936627200).

21516441788160 is an abundant number, since it is smaller than the sum of its proper divisors (68865431466240).

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

21516441788160 is a wasteful number, since it uses less digits than its factorization.

21516441788160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 21516441788160 in words is "twenty-one trillion, five hundred sixteen billion, four hundred forty-one million, seven hundred eighty-eight thousand, one hundred sixty".