13189040536320 has 1728 divisors, whose sum is σ = 52433700254208. Its totient is φ = 3032580096000.

The previous prime is 13189040536319. The next prime is 13189040536339. The reversal of 13189040536320 is 2363504098131.

13189040536320 is a `hidden beast` number, since 1 + 3 + 1 + 8 + 9 + 0 + 4 + 0 + 5 + 3 + 632 + 0 = 666.

13189040536320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 191 ways as a sum of consecutive naturals, for example, 58101500047 + ... + 58101500273.

It is an arithmetic number, because the mean of its divisors is an integer number (30343576536).

Almost surely, 2^{13189040536320} is an apocalyptic number.

13189040536320 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 13189040536320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26216850127104).

13189040536320 is an abundant number, since it is smaller than the sum of its proper divisors (39244659717888).

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

13189040536320 is a wasteful number, since it uses less digits than its factorization.

13189040536320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 13189040536320 in words is "thirteen trillion, one hundred eighty-nine billion, forty million, five hundred thirty-six thousand, three hundred twenty".