13127546880 has 1440 divisors, whose sum is σ = 61005344400. Its totient is φ = 2675441664.

The previous prime is 13127546851. The next prime is 13127546977. The reversal of 13127546880 is 8864572131.

13127546880 is a `hidden beast` number, since 1 + 3 + 1 + 27 + 546 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 690923511 + ... + 690923529.

Almost surely, 2^13127546880 is an apocalyptic number.

13127546880 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 13127546880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30502672200).

13127546880 is an abundant number, since it is smaller than the sum of its proper divisors (47877797520).

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

13127546880 is a wasteful number, since it uses less digits than its factorization.

13127546880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 13127546880 in words is "thirteen billion, one hundred twenty-seven million, five hundred forty-six thousand, eight hundred eighty".