11760413106816 has 512 divisors, whose sum is σ = 40785920409600. Its totient is φ = 3298846003200.

The previous prime is 11760413106791. The next prime is 11760413106823. The reversal of 11760413106816 is 61860131406711.

11760413106816 is a `hidden beast` number, since 1 + 1 + 7 + 604 + 1 + 31 + 0 + 6 + 8 + 1 + 6 = 666.

It is a super-2 number, since 2×11760413106816² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26888470 + ... + 27322346.

It is an arithmetic number, because the mean of its divisors is an integer number (79660000800).

Almost surely, 2^{11760413106816} is an apocalyptic number.

11760413106816 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 11760413106816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20392960204800).

11760413106816 is an abundant number, since it is smaller than the sum of its proper divisors (29025507302784).

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

11760413106816 is a wasteful number, since it uses less digits than its factorization.

11760413106816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433965 (or 433947 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 11760413106816 in words is "eleven trillion, seven hundred sixty billion, four hundred thirteen million, one hundred six thousand, eight hundred sixteen".