11106989658072 has 480 divisors, whose sum is σ = 39506614107840. Its totient is φ = 2882909232000.

The previous prime is 11106989658071. The next prime is 11106989658077. The reversal of 11106989658072 is 27085698960111.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11106989658071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 534725047 + ... + 534745817.

It is an arithmetic number, because the mean of its divisors is an integer number (82305446058).

Almost surely, 2^{11106989658072} is an apocalyptic number.

11106989658072 is a gapful number since it is divisible by the number (12) 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 11106989658072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19753307053920).

11106989658072 is an abundant number, since it is smaller than the sum of its proper divisors (28399624449768).

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

11106989658072 is a wasteful number, since it uses less digits than its factorization.

11106989658072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22345 (or 22325 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 63.

The spelling of 11106989658072 in words is "eleven trillion, one hundred six billion, nine hundred eighty-nine million, six hundred fifty-eight thousand, seventy-two".