13770927142560 has 1728 divisors, whose sum is σ = 59315345107200. Its totient is φ = 2891915034624.

The previous prime is 13770927142559. The next prime is 13770927142561. The reversal of 13770927142560 is 6524172907731.

13770927142560 is a `hidden beast` number, since 1 + 3 + 7 + 7 + 0 + 9 + 2 + 71 + 4 + 2 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (13770927142559) and next prime (13770927142561).

It is a junction number, because it is equal to n+sod(n) for n = 13770927142497 and 13770927142506.

It is not an unprimeable number, because it can be changed into a prime (13770927142561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 10683418396 + ... + 10683419684.

It is an arithmetic number, because the mean of its divisors is an integer number (34326009900).

Almost surely, 2^{13770927142560} is an apocalyptic number.

13770927142560 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 13770927142560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29657672553600).

13770927142560 is an abundant number, since it is smaller than the sum of its proper divisors (45544417964640).

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

13770927142560 is a wasteful number, since it uses less digits than its factorization.

13770927142560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1603 (or 1585 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The spelling of 13770927142560 in words is "thirteen trillion, seven hundred seventy billion, nine hundred twenty-seven million, one hundred forty-two thousand, five hundred sixty".