13064561126400 has 1056 divisors, whose sum is σ = 51651276963840. Its totient is φ = 2847578849280.

The previous prime is 13064561126399. The next prime is 13064561126413. The reversal of 13064561126400 is 462116546031.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4537880161 + ... + 4537883039.

Almost surely, 2^{13064561126400} is an apocalyptic number.

13064561126400 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 13064561126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25825638481920).

13064561126400 is an abundant number, since it is smaller than the sum of its proper divisors (38586715837440).

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

13064561126400 is a wasteful number, since it uses less digits than its factorization.

13064561126400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3309 (or 3286 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 13064561126400 in words is "thirteen trillion, sixty-four billion, five hundred sixty-one million, one hundred twenty-six thousand, four hundred".