13030125647616 has 1440 divisors, whose sum is σ = 51142646016000. Its totient is φ = 3267174113280.

The previous prime is 13030125647611. The next prime is 13030125647663. The reversal of 13030125647616 is 61674652103031.

13030125647616 is a `hidden beast` number, since 1 + 3 + 0 + 3 + 0 + 1 + 2 + 564 + 76 + 16 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13030125647611) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2268868041 + ... + 2268873783.

It is an arithmetic number, because the mean of its divisors is an integer number (35515726400).

Almost surely, 2^{13030125647616} is an apocalyptic number.

13030125647616 is a gapful number since it is divisible by the number (16) 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 13030125647616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25571323008000).

13030125647616 is an abundant number, since it is smaller than the sum of its proper divisors (38112520368384).

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

13030125647616 is an equidigital number, since it uses as much as digits as its factorization.

13030125647616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5832 (or 5795 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 13030125647616 in words is "thirteen trillion, thirty billion, one hundred twenty-five million, six hundred forty-seven thousand, six hundred sixteen".