11388396096 has 672 divisors, whose sum is σ = 43586887680. Its totient is φ = 2851200000.

The previous prime is 11388395987. The next prime is 11388396133. The reversal of 11388396096 is 69069388311.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45371971 + ... + 45372221.

It is an arithmetic number, because the mean of its divisors is an integer number (64861440).

Almost surely, 2^11388396096 is an apocalyptic number.

11388396096 is a gapful number since it is divisible by the number (16) 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 11388396096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21793443840).

11388396096 is an abundant number, since it is smaller than the sum of its proper divisors (32198491584).

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

11388396096 is a wasteful number, since it uses less digits than its factorization.

11388396096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 11388396096 in words is "eleven billion, three hundred eighty-eight million, three hundred ninety-six thousand, ninety-six".