13247190916960 has 1152 divisors, whose sum is σ = 43682066684928. Its totient is φ = 3730987008000.

The previous prime is 13247190916937. The next prime is 13247190916961. The reversal of 13247190916960 is 6961909174231.

It is a junction number, because it is equal to n+sod(n) for n = 13247190916895 and 13247190916904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13247190916961) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12974721250 + ... + 12974722270.

It is an arithmetic number, because the mean of its divisors is an integer number (37918460664).

Almost surely, 2^{13247190916960} is an apocalyptic number.

13247190916960 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 13247190916960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21841033342464).

13247190916960 is an abundant number, since it is smaller than the sum of its proper divisors (30434875767968).

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

13247190916960 is a wasteful number, since it uses less digits than its factorization.

13247190916960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1308 (or 1293 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 58.

The spelling of 13247190916960 in words is "thirteen trillion, two hundred forty-seven billion, one hundred ninety million, nine hundred sixteen thousand, nine hundred sixty".