13125301558880 has 864 divisors, whose sum is σ = 38244308578560. Its totient is φ = 4243228416000.

The previous prime is 13125301558823. The next prime is 13125301558903. The reversal of 13125301558880 is 8885510352131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 86922526805 + ... + 86922526955.

It is an arithmetic number, because the mean of its divisors is an integer number (44264246040).

Almost surely, 2^{13125301558880} is an apocalyptic number.

13125301558880 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 13125301558880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19122154289280).

13125301558880 is an abundant number, since it is smaller than the sum of its proper divisors (25119007019680).

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

13125301558880 is a wasteful number, since it uses less digits than its factorization.

13125301558880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 50.

The spelling of 13125301558880 in words is "thirteen trillion, one hundred twenty-five billion, three hundred one million, five hundred fifty-eight thousand, eight hundred eighty".