13307672160000 has 540 divisors, whose sum is σ = 48732602919000. Its totient is φ = 3490513920000.

The previous prime is 13307672159927. The next prime is 13307672160127. The reversal of 13307672160000 is 6127670331.

13307672160000 is a `hidden beast` number, since 13 + 30 + 7 + 6 + 7 + 2 + 1 + 600 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 87764251 + ... + 87915749.

Almost surely, 2^{13307672160000} is an apocalyptic number.

13307672160000 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 13307672160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24366301459500).

13307672160000 is an abundant number, since it is smaller than the sum of its proper divisors (35424930759000).

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

13307672160000 is an equidigital number, since it uses as much as digits as its factorization.

13307672160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151602 (or 151570 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The spelling of 13307672160000 in words is "thirteen trillion, three hundred seven billion, six hundred seventy-two million, one hundred sixty thousand".