13491709600320 has 896 divisors, whose sum is σ = 56433549312000. Its totient is φ = 2969262489600.

The previous prime is 13491709600301. The next prime is 13491709600357. The reversal of 13491709600320 is 2300690719431.

13491709600320 is a `hidden beast` number, since 1 + 3 + 4 + 9 + 1 + 7 + 0 + 9 + 600 + 32 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 373083040 + ... + 373119200.

It is an arithmetic number, because the mean of its divisors is an integer number (62983872000).

Almost surely, 2^{13491709600320} is an apocalyptic number.

13491709600320 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 13491709600320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28216774656000).

13491709600320 is an abundant number, since it is smaller than the sum of its proper divisors (42941839711680).

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

13491709600320 is a wasteful number, since it uses less digits than its factorization.

13491709600320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36424 (or 36408 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 13491709600320 in words is "thirteen trillion, four hundred ninety-one billion, seven hundred nine million, six hundred thousand, three hundred twenty".