13621170827680 has 48 divisors (see below), whose sum is σ = 34655401938024. Its totient is φ = 5029355381760.

The previous prime is 13621170827657. The next prime is 13621170827689. The reversal of 13621170827680 is 8672807112631.

It can be written as a sum of positive squares in 4 ways, for example, as 11962937727504 + 1658233100176 = 3458748^2 + 1287724^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (13621170827689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3274317831 + ... + 3274321990.

Almost surely, 2^{13621170827680} is an apocalyptic number.

13621170827680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13621170827680 is an abundant number, since it is smaller than the sum of its proper divisors (21034231110344).

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

13621170827680 is a wasteful number, since it uses less digits than its factorization.

13621170827680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6548639849 (or 6548639841 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 52.

The spelling of 13621170827680 in words is "thirteen trillion, six hundred twenty-one billion, one hundred seventy million, eight hundred twenty-seven thousand, six hundred eighty".