13345920806400 has 3840 divisors, whose sum is σ = 63376476979200. Its totient is φ = 2725008998400.

The previous prime is 13345920806357. The next prime is 13345920806483. The reversal of 13345920806400 is 460802954331.

13345920806400 is a `hidden beast` number, since 1 + 3 + 34 + 5 + 9 + 208 + 0 + 6 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a super-2 number, since 2×13345920806400² (a number of 27 digits) contains 22 as substring.

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 383 ways as a sum of consecutive naturals, for example, 430513574385 + ... + 430513574415.

It is an arithmetic number, because the mean of its divisors is an integer number (16504290880).

Almost surely, 2^{13345920806400} is an apocalyptic number.

13345920806400 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 13345920806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31688238489600).

13345920806400 is an abundant number, since it is smaller than the sum of its proper divisors (50030556172800).

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

13345920806400 is an frugal number, since it uses more digits than its factorization.

13345920806400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 13345920806400 in words is "thirteen trillion, three hundred forty-five billion, nine hundred twenty million, eight hundred six thousand, four hundred".