11726482464480 has 96 divisors (see below), whose sum is σ = 42215336884224. Its totient is φ = 2680338848256.

The previous prime is 11726482464461. The next prime is 11726482464481. The reversal of 11726482464480 is 8446428462711.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 11726482464480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11726482464481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1745008912 + ... + 1745015631.

It is an arithmetic number, because the mean of its divisors is an integer number (439743092544).

Almost surely, 2^{11726482464480} is an apocalyptic number.

11726482464480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11726482464480 is an abundant number, since it is smaller than the sum of its proper divisors (30488854419744).

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

11726482464480 is a wasteful number, since it uses less digits than its factorization.

11726482464480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3490024568 (or 3490024560 counting only the distinct ones).

The product of its (nonzero) digits is 16515072, while the sum is 57.

The spelling of 11726482464480 in words is "eleven trillion, seven hundred twenty-six billion, four hundred eighty-two million, four hundred sixty-four thousand, four hundred eighty".