12377377208560 has 320 divisors, whose sum is σ = 36741948364800. Its totient is φ = 3771600408576.

The previous prime is 12377377208527. The next prime is 12377377208579. The reversal of 12377377208560 is 6580277377321.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a junction number, because it is equal to n+sod(n) for n = 12377377208495 and 12377377208504.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 75710427 + ... + 75873733.

It is an arithmetic number, because the mean of its divisors is an integer number (114818588640).

Almost surely, 2^{12377377208560} is an apocalyptic number.

12377377208560 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 12377377208560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18370974182400).

12377377208560 is an abundant number, since it is smaller than the sum of its proper divisors (24364571156240).

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

12377377208560 is a wasteful number, since it uses less digits than its factorization.

12377377208560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163728 (or 163722 counting only the distinct ones).

The product of its (nonzero) digits is 20744640, while the sum is 58.

The spelling of 12377377208560 in words is "twelve trillion, three hundred seventy-seven billion, three hundred seventy-seven million, two hundred eight thousand, five hundred sixty".