13188536856440 has 128 divisors (see below), whose sum is σ = 34154351481600. Its totient is φ = 4532925265920.

The previous prime is 13188536856389. The next prime is 13188536856461. The reversal of 13188536856440 is 4465863588131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1798199 + ... + 5441561.

It is an arithmetic number, because the mean of its divisors is an integer number (266830870950).

Almost surely, 2^{13188536856440} is an apocalyptic number.

13188536856440 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 13188536856440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17077175740800).

13188536856440 is an abundant number, since it is smaller than the sum of its proper divisors (20965814625160).

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

13188536856440 is a wasteful number, since it uses less digits than its factorization.

13188536856440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3643837 (or 3643833 counting only the distinct ones).

The product of its (nonzero) digits is 66355200, while the sum is 62.

The spelling of 13188536856440 in words is "thirteen trillion, one hundred eighty-eight billion, five hundred thirty-six million, eight hundred fifty-six thousand, four hundred forty".