13125662880 has 192 divisors, whose sum is σ = 46560116736. Its totient is φ = 3079296000.

The previous prime is 13125662867. The next prime is 13125662887. The reversal of 13125662880 is 8826652131.

It is not an unprimeable number, because it can be changed into a prime (13125662887) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123585 + ... + 203775.

It is an arithmetic number, because the mean of its divisors is an integer number (242500608).

Almost surely, 2^13125662880 is an apocalyptic number.

13125662880 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 13125662880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23280058368).

13125662880 is an abundant number, since it is smaller than the sum of its proper divisors (33434453856).

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

13125662880 is a wasteful number, since it uses less digits than its factorization.

13125662880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80251 (or 80243 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 13125662880 in words is "thirteen billion, one hundred twenty-five million, six hundred sixty-two thousand, eight hundred eighty".