11528203911168 has 480 divisors, whose sum is σ = 37842540144640. Its totient is φ = 3047773962240.

The previous prime is 11528203911137. The next prime is 11528203911221. The reversal of 11528203911168 is 86111930282511.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 281079783 + ... + 281120793.

Almost surely, 2^{11528203911168} 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 11528203911168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18921270072320).

11528203911168 is an abundant number, since it is smaller than the sum of its proper divisors (26314336233472).

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

11528203911168 is an equidigital number, since it uses as much as digits as its factorization.

11528203911168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41111 (or 41085 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 48.

The spelling of 11528203911168 in words is "eleven trillion, five hundred twenty-eight billion, two hundred three million, nine hundred eleven thousand, one hundred sixty-eight".