13515421400544 has 192 divisors, whose sum is σ = 40727603879424. Its totient is φ = 3844315662336.

The previous prime is 13515421400521. The next prime is 13515421400549. The reversal of 13515421400544 is 44500412451531.

13515421400544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13515421400549) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 141071442 + ... + 141167214.

It is an arithmetic number, because the mean of its divisors is an integer number (212122936872).

Almost surely, 2^{13515421400544} is an apocalyptic number.

13515421400544 is a gapful number since it is divisible by the number (14) 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 13515421400544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20363801939712).

13515421400544 is an abundant number, since it is smaller than the sum of its proper divisors (27212182478880).

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

13515421400544 is a wasteful number, since it uses less digits than its factorization.

13515421400544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96729 (or 96721 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 39.

The spelling of 13515421400544 in words is "thirteen trillion, five hundred fifteen billion, four hundred twenty-one million, four hundred thousand, five hundred forty-four".