11106115710720 has 576 divisors, whose sum is σ = 38993463742464. Its totient is φ = 2681823559680.

The previous prime is 11106115710629. The next prime is 11106115710731. The reversal of 11106115710720 is 2701751160111.

It is a super-2 number, since 2×11106115710720² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 350080779 + ... + 350112501.

It is an arithmetic number, because the mean of its divisors is an integer number (67696985664).

Almost surely, 2^{11106115710720} is an apocalyptic number.

11106115710720 is a gapful number since it is divisible by the number (10) 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 11106115710720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19496731871232).

11106115710720 is an abundant number, since it is smaller than the sum of its proper divisors (27887348031744).

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

11106115710720 is a wasteful number, since it uses less digits than its factorization.

11106115710720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31968 (or 31954 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 33.

Adding to 11106115710720 its reverse (2701751160111), we get a palindrome (13807866870831).

The spelling of 11106115710720 in words is "eleven trillion, one hundred six billion, one hundred fifteen million, seven hundred ten thousand, seven hundred twenty".