13387590624 has 96 divisors (see below), whose sum is σ = 36707973120. Its totient is φ = 4266726912.

The previous prime is 13387590617. The next prime is 13387590637. The reversal of 13387590624 is 42609578331.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 263409 + ... + 310095.

It is an arithmetic number, because the mean of its divisors is an integer number (382374720).

It is a 1-persistent number, because it is pandigital, but 2⋅13387590624 = 26775181248 is not.

Almost surely, 2^13387590624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13387590624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18353986560).

13387590624 is an abundant number, since it is smaller than the sum of its proper divisors (23320382496).

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

13387590624 is a wasteful number, since it uses less digits than its factorization.

13387590624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46832 (or 46824 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 13387590624 in words is "thirteen billion, three hundred eighty-seven million, five hundred ninety thousand, six hundred twenty-four".