11933170128 has 280 divisors, whose sum is σ = 40048079616. Its totient is φ = 3402777600.

The previous prime is 11933170061. The next prime is 11933170133. The reversal of 11933170128 is 82107133911.

11933170128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11933170092 and 11933170101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2178433 + ... + 2183903.

Almost surely, 2^11933170128 is an apocalyptic number.

11933170128 is a gapful number since it is divisible by the number (18) 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 11933170128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20024039808).

11933170128 is an abundant number, since it is smaller than the sum of its proper divisors (28114909488).

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

11933170128 is a wasteful number, since it uses less digits than its factorization.

11933170128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5525 (or 5504 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The spelling of 11933170128 in words is "eleven billion, nine hundred thirty-three million, one hundred seventy thousand, one hundred twenty-eight".