13508470060320 has 768 divisors, whose sum is σ = 45700445306880. Its totient is φ = 3348172800000.

The previous prime is 13508470060297. The next prime is 13508470060357. The reversal of 13508470060320 is 2306007480531.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13001414361 + ... + 13001415399.

It is an arithmetic number, because the mean of its divisors is an integer number (59505788160).

Almost surely, 2^{13508470060320} is an apocalyptic number.

13508470060320 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 13508470060320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22850222653440).

13508470060320 is an abundant number, since it is smaller than the sum of its proper divisors (32191975246560).

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

13508470060320 is a wasteful number, since it uses less digits than its factorization.

13508470060320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1441 (or 1433 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

It can be divided in two parts, 135084700 and 60320, that added together give a triangular number (135145020 = T₁₆₄₄₀).

The spelling of 13508470060320 in words is "thirteen trillion, five hundred eight billion, four hundred seventy million, sixty thousand, three hundred twenty".