21135115040616 has 192 divisors, whose sum is σ = 60218855424000. Its totient is φ = 6687728530560.

The previous prime is 21135115040597. The next prime is 21135115040617. The reversal of 21135115040616 is 61604051153112.

21135115040616 is a `hidden beast` number, since 2 + 1 + 1 + 35 + 1 + 1 + 5 + 0 + 4 + 0 + 616 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (21135115040617) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60798225 + ... + 61144863.

It is an arithmetic number, because the mean of its divisors is an integer number (313639872000).

Almost surely, 2^{21135115040616} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21135115040616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30109427712000).

21135115040616 is an abundant number, since it is smaller than the sum of its proper divisors (39083740383384).

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

21135115040616 is a wasteful number, since it uses less digits than its factorization.

21135115040616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347204 (or 347197 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

Adding to 21135115040616 its reverse (61604051153112), we get a palindrome (82739166193728).

The spelling of 21135115040616 in words is "twenty-one trillion, one hundred thirty-five billion, one hundred fifteen million, forty thousand, six hundred sixteen".