13739587488 has 144 divisors (see below), whose sum is σ = 42863839200. Its totient is φ = 4140080640.

The previous prime is 13739587453. The next prime is 13739587559. The reversal of 13739587488 is 88478593731.

13739587488 is a `hidden beast` number, since 1 + 3 + 7 + 3 + 9 + 587 + 48 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-4 number, since 4×13739587488⁴ (a number of 42 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 554958 + ... + 579186.

It is an arithmetic number, because the mean of its divisors is an integer number (297665550).

Almost surely, 2^13739587488 is an apocalyptic number.

13739587488 is a gapful number since it is divisible by the number (18) 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 13739587488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21431919600).

13739587488 is an abundant number, since it is smaller than the sum of its proper divisors (29124251712).

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

13739587488 is a wasteful number, since it uses less digits than its factorization.

13739587488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24435 (or 24424 counting only the distinct ones).

The product of its digits is 40642560, while the sum is 63.

The spelling of 13739587488 in words is "thirteen billion, seven hundred thirty-nine million, five hundred eighty-seven thousand, four hundred eighty-eight".