13307791104000 has 1536 divisors, whose sum is σ = 51220076544000. Its totient is φ = 3404906496000.

The previous prime is 13307791103993. The next prime is 13307791104001. The reversal of 13307791104000 is 40119770331.

13307791104000 is a `hidden beast` number, since 133 + 0 + 7 + 7 + 9 + 110 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13307791104001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 37069055821 + ... + 37069056179.

It is an arithmetic number, because the mean of its divisors is an integer number (33346404000).

Almost surely, 2^{13307791104000} is an apocalyptic number.

13307791104000 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 13307791104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25610038272000).

13307791104000 is an abundant number, since it is smaller than the sum of its proper divisors (37912285440000).

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

13307791104000 is a wasteful number, since it uses less digits than its factorization.

13307791104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The spelling of 13307791104000 in words is "thirteen trillion, three hundred seven billion, seven hundred ninety-one million, one hundred four thousand".