13155726689280 has 1760 divisors, whose sum is σ = 57333588086016. Its totient is φ = 2827559632896.

The previous prime is 13155726689243. The next prime is 13155726689291. The reversal of 13155726689280 is 8298662755131.

13155726689280 is a `hidden beast` number, since 1 + 3 + 15 + 5 + 7 + 266 + 89 + 280 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 11992457692 + ... + 11992458788.

Almost surely, 2^{13155726689280} is an apocalyptic number.

13155726689280 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 13155726689280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28666794043008).

13155726689280 is an abundant number, since it is smaller than the sum of its proper divisors (44177861396736).

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

13155726689280 is an frugal number, since it uses more digits than its factorization.

13155726689280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1173 (or 1131 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 13155726689280 in words is "thirteen trillion, one hundred fifty-five billion, seven hundred twenty-six million, six hundred eighty-nine thousand, two hundred eighty".