13591078781280 has 1152 divisors, whose sum is σ = 59112764444160. Its totient is φ = 2579943260160.

The previous prime is 13591078781237. The next prime is 13591078781333. The reversal of 13591078781280 is 8218787019531.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 326225091 + ... + 326266749.

It is an arithmetic number, because the mean of its divisors is an integer number (51313163580).

Almost surely, 2^{13591078781280} is an apocalyptic number.

13591078781280 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 13591078781280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29556382222080).

13591078781280 is an abundant number, since it is smaller than the sum of its proper divisors (45521685662880).

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

13591078781280 is a wasteful number, since it uses less digits than its factorization.

13591078781280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41812 (or 41797 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 60.

The spelling of 13591078781280 in words is "thirteen trillion, five hundred ninety-one billion, seventy-eight million, seven hundred eighty-one thousand, two hundred eighty".