11675120704 has 56 divisors (see below), whose sum is σ = 25006325400. Its totient is φ = 5376344064.

The previous prime is 11675120687. The next prime is 11675120713. The reversal of 11675120704 is 40702157611.

It can be written as a sum of positive squares in 4 ways, for example, as 1099055104 + 10576065600 = 33152^2 + 102840^2 .

It is a super-3 number, since 3×11675120704³ (a number of 31 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11675120704.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 357942 + ... + 389194.

It is an arithmetic number, because the mean of its divisors is an integer number (446541525).

Almost surely, 2^11675120704 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 11675120704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12503162700).

11675120704 is an abundant number, since it is smaller than the sum of its proper divisors (13331204696).

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

11675120704 is a wasteful number, since it uses less digits than its factorization.

11675120704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31727 (or 31717 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 34.

The spelling of 11675120704 in words is "eleven billion, six hundred seventy-five million, one hundred twenty thousand, seven hundred four".