13271139532800 has 900 divisors, whose sum is σ = 49379926669920. Its totient is φ = 3523443425280.

The previous prime is 13271139532787. The next prime is 13271139532801. The reversal of 13271139532800 is 823593117231.

13271139532800 is a `hidden beast` number, since 1 + 3 + 2 + 7 + 1 + 1 + 39 + 532 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (900).

It is a super-2 number, since 2×13271139532800² (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 not an unprimeable number, because it can be changed into a prime (13271139532801) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 8924773657 + ... + 8924775143.

Almost surely, 2^{13271139532800} is an apocalyptic number.

13271139532800 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 13271139532800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24689963334960).

13271139532800 is an abundant number, since it is smaller than the sum of its proper divisors (36108787137120).

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

13271139532800 is an equidigital number, since it uses as much as digits as its factorization.

13271139532800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1806 (or 1766 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 13271139532800 in words is "thirteen trillion, two hundred seventy-one billion, one hundred thirty-nine million, five hundred thirty-two thousand, eight hundred".