13015209664800 has 1152 divisors, whose sum is σ = 54864943418880. Its totient is φ = 2952809717760.

The previous prime is 13015209664763. The next prime is 13015209664811. The reversal of 13015209664800 is 846690251031.

13015209664800 is a `hidden beast` number, since 1 + 30 + 1 + 52 + 0 + 96 + 6 + 480 + 0 = 666.

13015209664800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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, 1677862522 + ... + 1677870278.

It is an arithmetic number, because the mean of its divisors is an integer number (47625818940).

Almost surely, 2^{13015209664800} is an apocalyptic number.

13015209664800 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 13015209664800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27432471709440).

13015209664800 is an abundant number, since it is smaller than the sum of its proper divisors (41849733754080).

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

13015209664800 is an equidigital number, since it uses as much as digits as its factorization.

13015209664800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7942 (or 7911 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 13015209664800 in words is "thirteen trillion, fifteen billion, two hundred nine million, six hundred sixty-four thousand, eight hundred".