13127489760000 has 2160 divisors, whose sum is σ = 57869088963840. Its totient is φ = 2565242880000.

The previous prime is 13127489759999. The next prime is 13127489760023. The reversal of 13127489760000 is 6798472131.

It is a happy number.

13127489760000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 10681439386 + ... + 10681440614.

Almost surely, 2^{13127489760000} is an apocalyptic number.

13127489760000 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 13127489760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28934544481920).

13127489760000 is an abundant number, since it is smaller than the sum of its proper divisors (44741599203840).

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

13127489760000 is a wasteful number, since it uses less digits than its factorization.

13127489760000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1320 (or 1274 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The spelling of 13127489760000 in words is "thirteen trillion, one hundred twenty-seven billion, four hundred eighty-nine million, seven hundred sixty thousand".