11726631460516 has 96 divisors (see below), whose sum is σ = 24162899443200. Its totient is φ = 4875072998400.

The previous prime is 11726631460507. The next prime is 11726631460543. The reversal of 11726631460516 is 61506413662711.

It is a self number, because there is not a number n which added to its sum of digits gives 11726631460516.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 341061646 + ... + 341096026.

It is an arithmetic number, because the mean of its divisors is an integer number (251696869200).

Almost surely, 2^{11726631460516} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11726631460516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12081449721600).

11726631460516 is an abundant number, since it is smaller than the sum of its proper divisors (12436267982684).

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

11726631460516 is a wasteful number, since it uses less digits than its factorization.

11726631460516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36125 (or 36123 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 49.

The spelling of 11726631460516 in words is "eleven trillion, seven hundred twenty-six billion, six hundred thirty-one million, four hundred sixty thousand, five hundred sixteen".