11672035907168 has 288 divisors, whose sum is σ = 29847176690688. Its totient is φ = 4448816870400.

The previous prime is 11672035907029. The next prime is 11672035907267. The reversal of 11672035907168 is 86170953027611.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 143401523 + ... + 143482893.

It is an arithmetic number, because the mean of its divisors is an integer number (103636030176).

Almost surely, 2^{11672035907168} 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 11672035907168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14923588345344).

11672035907168 is an abundant number, since it is smaller than the sum of its proper divisors (18175140783520).

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

11672035907168 is a wasteful number, since it uses less digits than its factorization.

11672035907168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81666 (or 81651 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 56.

The spelling of 11672035907168 in words is "eleven trillion, six hundred seventy-two billion, thirty-five million, nine hundred seven thousand, one hundred sixty-eight".