12380605265280 has 1024 divisors, whose sum is σ = 47294701977600. Its totient is φ = 2695967539200.

The previous prime is 12380605265267. The next prime is 12380605265299. The reversal of 12380605265280 is 8256250608321.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7038433041 + ... + 7038434799.

It is an arithmetic number, because the mean of its divisors is an integer number (46186232400).

Almost surely, 2^{12380605265280} is an apocalyptic number.

12380605265280 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 12380605265280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23647350988800).

12380605265280 is an abundant number, since it is smaller than the sum of its proper divisors (34914096712320).

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

12380605265280 is a wasteful number, since it uses less digits than its factorization.

12380605265280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2123 (or 2111 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 48.

The spelling of 12380605265280 in words is "twelve trillion, three hundred eighty billion, six hundred five million, two hundred sixty-five thousand, two hundred eighty".