11105928120672 has 576 divisors, whose sum is σ = 40993372353024. Its totient is φ = 2873392496640.

The previous prime is 11105928120629. The next prime is 11105928120691. The reversal of 11105928120672 is 27602182950111.

11105928120672 is a `hidden beast` number, since 1 + 110 + 59 + 281 + 206 + 7 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 153843178 + ... + 153915350.

It is an arithmetic number, because the mean of its divisors is an integer number (71169049224).

Almost surely, 2^{11105928120672} is an apocalyptic number.

11105928120672 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 11105928120672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20496686176512).

11105928120672 is an abundant number, since it is smaller than the sum of its proper divisors (29887444232352).

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

11105928120672 is a wasteful number, since it uses less digits than its factorization.

11105928120672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72473 (or 72453 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The spelling of 11105928120672 in words is "eleven trillion, one hundred five billion, nine hundred twenty-eight million, one hundred twenty thousand, six hundred seventy-two".