2111562117016 has 128 divisors (see below), whose sum is σ = 4657261536000. Its totient is φ = 887343206400.

The previous prime is 2111562116987. The next prime is 2111562117017. The reversal of 2111562117016 is 6107112651112.

It is a super-3 number, since 3×2111562117016³ (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2111562117017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13436656 + ... + 13592896.

It is an arithmetic number, because the mean of its divisors is an integer number (36384855750).

Almost surely, 2^{2111562117016} 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 2111562117016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2328630768000).

2111562117016 is an abundant number, since it is smaller than the sum of its proper divisors (2545699418984).

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

2111562117016 is a wasteful number, since it uses less digits than its factorization.

2111562117016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156473 (or 156469 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 34.

Adding to 2111562117016 its reverse (6107112651112), we get a palindrome (8218674768128).

The spelling of 2111562117016 in words is "two trillion, one hundred eleven billion, five hundred sixty-two million, one hundred seventeen thousand, sixteen".