11376088416 has 240 divisors, whose sum is σ = 41713056000. Its totient is φ = 2954776320.

The previous prime is 11376088403. The next prime is 11376088417. The reversal of 11376088416 is 61488067311.

11376088416 is a `hidden beast` number, since 1 + 1 + 37 + 608 + 8 + 4 + 1 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11376088417) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 171085 + ... + 228083.

It is an arithmetic number, because the mean of its divisors is an integer number (173804400).

Almost surely, 2^11376088416 is an apocalyptic number.

11376088416 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 11376088416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20856528000).

11376088416 is an abundant number, since it is smaller than the sum of its proper divisors (30336967584).

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

11376088416 is a wasteful number, since it uses less digits than its factorization.

11376088416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57039 (or 57022 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 11376088416 in words is "eleven billion, three hundred seventy-six million, eighty-eight thousand, four hundred sixteen".