13064960332800 has 2376 divisors, whose sum is σ = 54703487592000. Its totient is φ = 2964785725440.

The previous prime is 13064960332793. The next prime is 13064960332829. The reversal of 13064960332800 is 823306946031.

13064960332800 is a `hidden beast` number, since 1 + 3 + 0 + 6 + 4 + 9 + 603 + 32 + 8 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 29097906976 + ... + 29097907424.

Almost surely, 2^{13064960332800} is an apocalyptic number.

13064960332800 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 13064960332800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27351743796000).

13064960332800 is an abundant number, since it is smaller than the sum of its proper divisors (41638527259200).

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

13064960332800 is a wasteful number, since it uses less digits than its factorization.

13064960332800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 13064960332800 in words is "thirteen trillion, sixty-four billion, nine hundred sixty million, three hundred thirty-two thousand, eight hundred".