13405537783872 has 336 divisors, whose sum is σ = 44232611649408. Its totient is φ = 3849210224640.

The previous prime is 13405537783861. The next prime is 13405537783873. The reversal of 13405537783872 is 27838773550431.

13405537783872 is a `hidden beast` number, since 1 + 3 + 4 + 0 + 553 + 7 + 7 + 8 + 3 + 8 + 72 = 666.

It is not an unprimeable number, because it can be changed into a prime (13405537783873) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6111943 + ... + 8010425.

It is an arithmetic number, because the mean of its divisors is an integer number (131644677528).

Almost surely, 2^{13405537783872} is an apocalyptic number.

13405537783872 is a gapful number since it is divisible by the number (12) 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 13405537783872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22116305824704).

13405537783872 is an abundant number, since it is smaller than the sum of its proper divisors (30827073865536).

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

13405537783872 is a wasteful number, since it uses less digits than its factorization.

13405537783872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1898578 (or 1898565 counting only the distinct ones).

The product of its (nonzero) digits is 118540800, while the sum is 63.

The spelling of 13405537783872 in words is "thirteen trillion, four hundred five billion, five hundred thirty-seven million, seven hundred eighty-three thousand, eight hundred seventy-two".