13065012480 has 288 divisors, whose sum is σ = 45249450624. Its totient is φ = 3193602048.

The previous prime is 13065012469. The next prime is 13065012491. The reversal of 13065012480 is 8421056031.

It is an interprime number because it is at equal distance from previous prime (13065012469) and next prime (13065012491).

It is a super-2 number, since 2×13065012480² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7836607 + ... + 7838273.

It is an arithmetic number, because the mean of its divisors is an integer number (157116148).

Almost surely, 2^13065012480 is an apocalyptic number.

13065012480 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 13065012480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22624725312).

13065012480 is an abundant number, since it is smaller than the sum of its proper divisors (32184438144).

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

13065012480 is a wasteful number, since it uses less digits than its factorization.

13065012480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1861 (or 1847 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 13065012480 in words is "thirteen billion, sixty-five million, twelve thousand, four hundred eighty".