13507491288564 has 768 divisors, whose sum is σ = 46128741120000. Its totient is φ = 3336622129152.

The previous prime is 13507491288553. The next prime is 13507491288583. The reversal of 13507491288564 is 46588219470531.

It is a happy number.

13507491288564 is a `hidden beast` number, since 1 + 3 + 5 + 0 + 7 + 49 + 1 + 28 + 8 + 564 = 666.

13507491288564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 6466007232 + ... + 6466009320.

It is an arithmetic number, because the mean of its divisors is an integer number (60063465000).

It is a 1-persistent number, because it is pandigital, but 2⋅13507491288564 = 27014982577128 is not.

Almost surely, 2^{13507491288564} is an apocalyptic number.

13507491288564 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 13507491288564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23064370560000).

13507491288564 is an abundant number, since it is smaller than the sum of its proper divisors (32621249831436).

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

13507491288564 is a wasteful number, since it uses less digits than its factorization.

13507491288564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2394 (or 2360 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 13507491288564 in words is "thirteen trillion, five hundred seven billion, four hundred ninety-one million, two hundred eighty-eight thousand, five hundred sixty-four".