13034764360800 has 2268 divisors, whose sum is σ = 60119050767300. Its totient is φ = 2749173073920.

The previous prime is 13034764360789. The next prime is 13034764360927. The reversal of 13034764360800 is 806346743031.

13034764360800 is a `hidden beast` number, since 1 + 3 + 0 + 3 + 476 + 43 + 60 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2268).

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 polite number, since it can be written in 377 ways as a sum of consecutive naturals, for example, 4829477851 + ... + 4829480549.

It is an arithmetic number, because the mean of its divisors is an integer number (26507517975).

Almost surely, 2^{13034764360800} is an apocalyptic number.

13034764360800 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 13034764360800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30059525383650).

13034764360800 is an abundant number, since it is smaller than the sum of its proper divisors (47084286406500).

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

13034764360800 is a wasteful number, since it uses less digits than its factorization.

13034764360800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2777 (or 2729 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 13034764360800 in words is "thirteen trillion, thirty-four billion, seven hundred sixty-four million, three hundred sixty thousand, eight hundred".