11179201152 has 512 divisors, whose sum is σ = 38603980800. Its totient is φ = 2791895040.

The previous prime is 11179201151. The next prime is 11179201153. The reversal of 11179201152 is 25110297111.

It is an interprime number because it is at equal distance from previous prime (11179201151) and next prime (11179201153).

It is not an unprimeable number, because it can be changed into a prime (11179201151) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36414183 + ... + 36414489.

It is an arithmetic number, because the mean of its divisors is an integer number (75398400).

Almost surely, 2^11179201152 is an apocalyptic number.

11179201152 is a gapful number since it is divisible by the number (12) 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 11179201152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19301990400).

11179201152 is an abundant number, since it is smaller than the sum of its proper divisors (27424779648).

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

11179201152 is a wasteful number, since it uses less digits than its factorization.

11179201152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 30.

Adding to 11179201152 its reverse (25110297111), we get a palindrome (36289498263).

The spelling of 11179201152 in words is "eleven billion, one hundred seventy-nine million, two hundred one thousand, one hundred fifty-two".