21113161160 has 192 divisors, whose sum is σ = 61565540400. Its totient is φ = 6451329024.

The previous prime is 21113161129. The next prime is 21113161187. The reversal of 21113161160 is 6116131112.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 532963396 + 20580197764 = 23086^2 + 143458^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 724634 + ... + 753206.

Almost surely, 2^21113161160 is an apocalyptic number.

21113161160 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 21113161160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30782770200).

21113161160 is an abundant number, since it is smaller than the sum of its proper divisors (40452379240).

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

21113161160 is a wasteful number, since it uses less digits than its factorization.

21113161160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28640 (or 28629 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 23.

Adding to 21113161160 its reverse (6116131112), we get a palindrome (27229292272).

The spelling of 21113161160 in words is "twenty-one billion, one hundred thirteen million, one hundred sixty-one thousand, one hundred sixty".