13025030667264 has 2112 divisors, whose sum is σ = 52623461130240. Its totient is φ = 3115217387520.

The previous prime is 13025030667263. The next prime is 13025030667269. The reversal of 13025030667264 is 46276603052031.

13025030667264 is a `hidden beast` number, since 1 + 3 + 0 + 25 + 0 + 306 + 67 + 264 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13025030667263) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13469524509 + ... + 13469525475.

It is an arithmetic number, because the mean of its divisors is an integer number (24916411520).

Almost surely, 2^{13025030667264} is an apocalyptic number.

13025030667264 is a gapful number since it is divisible by the number (14) 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 13025030667264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26311730565120).

13025030667264 is an abundant number, since it is smaller than the sum of its proper divisors (39598430462976).

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

13025030667264 is a wasteful number, since it uses less digits than its factorization.

13025030667264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1076 (or 1046 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 13025030667264 in words is "thirteen trillion, twenty-five billion, thirty million, six hundred sixty-seven thousand, two hundred sixty-four".