21216053601160 has 96 divisors (see below), whose sum is σ = 52481424040920. Its totient is φ = 7713290224640.

The previous prime is 21216053601109. The next prime is 21216053601163. The reversal of 21216053601160 is 6110635061212.

It can be written as a sum of positive squares in 4 ways, for example, as 15336951402564 + 5879102198596 = 3916242^2 + 2424686^2 .

It is not an unprimeable number, because it can be changed into a prime (21216053601163) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22444644 + ... + 23370796.

Almost surely, 2^{21216053601160} is an apocalyptic number.

21216053601160 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 21216053601160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26240712020460).

21216053601160 is an abundant number, since it is smaller than the sum of its proper divisors (31265370439760).

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

21216053601160 is a wasteful number, since it uses less digits than its factorization.

21216053601160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 930919 (or 930904 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

Adding to 21216053601160 its reverse (6110635061212), we get a palindrome (27326688662372).

The spelling of 21216053601160 in words is "twenty-one trillion, two hundred sixteen billion, fifty-three million, six hundred one thousand, one hundred sixty".