13030385760 has 1080 divisors, whose sum is σ = 57626586864. Its totient is φ = 2763694080.

The previous prime is 13030385747. The next prime is 13030385773. The reversal of 13030385760 is 6758303031.

It is an interprime number because it is at equal distance from previous prime (13030385747) and next prime (13030385773).

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 183526525 + ... + 183526595.

Almost surely, 2^13030385760 is an apocalyptic number.

13030385760 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 13030385760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28813293432).

13030385760 is an abundant number, since it is smaller than the sum of its proper divisors (44596201104).

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

13030385760 is a wasteful number, since it uses less digits than its factorization.

13030385760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

Adding to 13030385760 its reverse (6758303031), we get a palindrome (19788688791).

The spelling of 13030385760 in words is "thirteen billion, thirty million, three hundred eighty-five thousand, seven hundred sixty".