11387128320 has 480 divisors, whose sum is σ = 41365209600. Its totient is φ = 2891612160.

The previous prime is 11387128301. The next prime is 11387128321. The reversal of 11387128320 is 2382178311.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×11387128320² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (11387128321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 76423606 + ... + 76423754.

It is an arithmetic number, because the mean of its divisors is an integer number (86177520).

Almost surely, 2^11387128320 is an apocalyptic number.

11387128320 is a gapful number since it is divisible by the number (10) 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 11387128320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20682604800).

11387128320 is an abundant number, since it is smaller than the sum of its proper divisors (29978081280).

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

11387128320 is a wasteful number, since it uses less digits than its factorization.

11387128320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 11387128320 in words is "eleven billion, three hundred eighty-seven million, one hundred twenty-eight thousand, three hundred twenty".