13408187520 has 768 divisors, whose sum is σ = 56456265600. Its totient is φ = 2675441664.

The previous prime is 13408187519. The next prime is 13408187531. The reversal of 13408187520 is 2578180431.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23237472 + ... + 23238048.

Almost surely, 2^13408187520 is an apocalyptic number.

13408187520 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 13408187520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28228132800).

13408187520 is an abundant number, since it is smaller than the sum of its proper divisors (43048078080).

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

13408187520 is a wasteful number, since it uses less digits than its factorization.

13408187520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The spelling of 13408187520 in words is "thirteen billion, four hundred eight million, one hundred eighty-seven thousand, five hundred twenty".