11875166028 has 288 divisors, whose sum is σ = 35004872448. Its totient is φ = 3518951040.

The previous prime is 11875165979. The next prime is 11875166047. The reversal of 11875166028 is 82066157811.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 86679976 + ... + 86680112.

It is an arithmetic number, because the mean of its divisors is an integer number (121544696).

Almost surely, 2^11875166028 is an apocalyptic number.

11875166028 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 11875166028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17502436224).

11875166028 is an abundant number, since it is smaller than the sum of its proper divisors (23129706420).

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

11875166028 is a wasteful number, since it uses less digits than its factorization.

11875166028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 11875166028 in words is "eleven billion, eight hundred seventy-five million, one hundred sixty-six thousand, twenty-eight".