13639551309540 has 1152 divisors, whose sum is σ = 51257876447232. Its totient is φ = 3010319769600.

The previous prime is 13639551309539. The next prime is 13639551309551. The reversal of 13639551309540 is 4590315593631.

13639551309540 is a `hidden beast` number, since 1 + 3 + 6 + 3 + 9 + 551 + 30 + 9 + 54 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 6991055565 + ... + 6991057515.

It is an arithmetic number, because the mean of its divisors is an integer number (44494684416).

Almost surely, 2^{13639551309540} is an apocalyptic number.

13639551309540 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 13639551309540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25628938223616).

13639551309540 is an abundant number, since it is smaller than the sum of its proper divisors (37618325137692).

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

13639551309540 is a wasteful number, since it uses less digits than its factorization.

13639551309540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2311 (or 2297 counting only the distinct ones).

The product of its (nonzero) digits is 6561000, while the sum is 54.

The spelling of 13639551309540 in words is "thirteen trillion, six hundred thirty-nine billion, five hundred fifty-one million, three hundred nine thousand, five hundred forty".