13125087776880 has 480 divisors, whose sum is σ = 46994429664000. Its totient is φ = 3273481175040.

The previous prime is 13125087776873. The next prime is 13125087776887. The reversal of 13125087776880 is 8867778052131.

It is an interprime number because it is at equal distance from previous prime (13125087776873) and next prime (13125087776887).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13125087776887) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 340352800 + ... + 340391360.

It is an arithmetic number, because the mean of its divisors is an integer number (97905061800).

Almost surely, 2^{13125087776880} is an apocalyptic number.

13125087776880 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 13125087776880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23497214832000).

13125087776880 is an abundant number, since it is smaller than the sum of its proper divisors (33869341887120).

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

13125087776880 is a wasteful number, since it uses less digits than its factorization.

13125087776880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38917 (or 38908 counting only the distinct ones).

The product of its (nonzero) digits is 31610880, while the sum is 63.

The spelling of 13125087776880 in words is "thirteen trillion, one hundred twenty-five billion, eighty-seven million, seven hundred seventy-six thousand, eight hundred eighty".