13201775506080 has 864 divisors, whose sum is σ = 53351364044160. Its totient is φ = 2963295498240.

The previous prime is 13201775506063. The next prime is 13201775506081. The reversal of 13201775506080 is 8060557710231.

It is a happy number.

13201775506080 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 17 + 7 + 550 + 6 + 0 + 80 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (13201775506081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3129122211 + ... + 3129126429.

It is an arithmetic number, because the mean of its divisors is an integer number (61749263940).

Almost surely, 2^{13201775506080} is an apocalyptic number.

13201775506080 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 13201775506080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26675682022080).

13201775506080 is an abundant number, since it is smaller than the sum of its proper divisors (40149588538080).

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

13201775506080 is a wasteful number, since it uses less digits than its factorization.

13201775506080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5042 (or 5024 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 13201775506080 in words is "thirteen trillion, two hundred one billion, seven hundred seventy-five million, five hundred six thousand, eighty".