13171732550400 has 864 divisors, whose sum is σ = 47556456192000. Its totient is φ = 3198232166400.

The previous prime is 13171732550393. The next prime is 13171732550441. The reversal of 13171732550400 is 405523717131.

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 95 ways as a sum of consecutive naturals, for example, 1685007292 + ... + 1685015108.

Almost surely, 2^{13171732550400} is an apocalyptic number.

13171732550400 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 13171732550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23778228096000).

13171732550400 is an abundant number, since it is smaller than the sum of its proper divisors (34384723641600).

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

13171732550400 is a wasteful number, since it uses less digits than its factorization.

13171732550400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8045 (or 8026 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 39.

The spelling of 13171732550400 in words is "thirteen trillion, one hundred seventy-one billion, seven hundred thirty-two million, five hundred fifty thousand, four hundred".