11319628152 has 128 divisors (see below), whose sum is σ = 33265382400. Its totient is φ = 3142084608.

The previous prime is 11319628147. The next prime is 11319628219. The reversal of 11319628152 is 25182691311.

11319628152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 11319628152.

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 31 ways as a sum of consecutive naturals, for example, 7601424 + ... + 7602912.

It is an arithmetic number, because the mean of its divisors is an integer number (259885800).

Almost surely, 2^11319628152 is an apocalyptic number.

11319628152 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 11319628152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16632691200).

11319628152 is an abundant number, since it is smaller than the sum of its proper divisors (21945754248).

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

11319628152 is a wasteful number, since it uses less digits than its factorization.

11319628152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2765 (or 2761 counting only the distinct ones).

The product of its digits is 25920, while the sum is 39.

The spelling of 11319628152 in words is "eleven billion, three hundred nineteen million, six hundred twenty-eight thousand, one hundred fifty-two".