11816592480 has 1152 divisors, whose sum is σ = 54344908800. Its totient is φ = 2264371200.

The previous prime is 11816592479. The next prime is 11816592517. The reversal of 11816592480 is 8429561811.

It is a happy number.

11816592480 is a `hidden beast` number, since 1 + 1 + 8 + 16 + 592 + 48 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 149577081 + ... + 149577159.

It is an arithmetic number, because the mean of its divisors is an integer number (47174400).

Almost surely, 2^11816592480 is an apocalyptic number.

11816592480 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 11816592480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27172454400).

11816592480 is an abundant number, since it is smaller than the sum of its proper divisors (42528316320).

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

11816592480 is a wasteful number, since it uses less digits than its factorization.

11816592480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 11816592480 in words is "eleven billion, eight hundred sixteen million, five hundred ninety-two thousand, four hundred eighty".