21416656694160 has 1280 divisors, whose sum is σ = 85457570365440. Its totient is φ = 4315821834240.

The previous prime is 21416656694053. The next prime is 21416656694161. The reversal of 21416656694160 is 6149665661412.

It is a self number, because there is not a number n which added to its sum of digits gives 21416656694160.

It is not an unprimeable number, because it can be changed into a prime (21416656694161) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 20034290106 + ... + 20034291174.

It is an arithmetic number, because the mean of its divisors is an integer number (66763726848).

Almost surely, 2^{21416656694160} is an apocalyptic number.

21416656694160 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 21416656694160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42728785182720).

21416656694160 is an abundant number, since it is smaller than the sum of its proper divisors (64040913671280).

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

21416656694160 is a wasteful number, since it uses less digits than its factorization.

21416656694160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1496 (or 1490 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 57.

The spelling of 21416656694160 in words is "twenty-one trillion, four hundred sixteen billion, six hundred fifty-six million, six hundred ninety-four thousand, one hundred sixty".