11536428288 has 648 divisors, whose sum is σ = 41649279840. Its totient is φ = 2799820800.

The previous prime is 11536428269. The next prime is 11536428311. The reversal of 11536428288 is 88282463511.

It is a super-2 number, since 2×11536428288² (a number of 21 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 372142833 + ... + 372142863.

It is an arithmetic number, because the mean of its divisors is an integer number (64273580).

Almost surely, 2^11536428288 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 11536428288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20824639920).

11536428288 is an abundant number, since it is smaller than the sum of its proper divisors (30112851552).

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

11536428288 is a wasteful number, since it uses less digits than its factorization.

11536428288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 83 counting only the distinct ones).

The product of its digits is 737280, while the sum is 48.

The spelling of 11536428288 in words is "eleven billion, five hundred thirty-six million, four hundred twenty-eight thousand, two hundred eighty-eight".