13591414755072 has 2592 divisors, whose sum is σ = 54231878937600. Its totient is φ = 3243276288000.

The previous prime is 13591414755049. The next prime is 13591414755101. The reversal of 13591414755072 is 27055741419531.

It is a happy number.

13591414755072 is a `hidden beast` number, since 1 + 3 + 5 + 9 + 1 + 4 + 14 + 7 + 550 + 72 = 666.

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 287 ways as a sum of consecutive naturals, for example, 191428376797 + ... + 191428376867.

It is an arithmetic number, because the mean of its divisors is an integer number (20922792800).

Almost surely, 2^{13591414755072} is an apocalyptic number.

13591414755072 is a gapful number since it is divisible by the number (12) 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 13591414755072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27115939468800).

13591414755072 is an abundant number, since it is smaller than the sum of its proper divisors (40640464182528).

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

13591414755072 is a wasteful number, since it uses less digits than its factorization.

13591414755072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 5292000, while the sum is 54.

The spelling of 13591414755072 in words is "thirteen trillion, five hundred ninety-one billion, four hundred fourteen million, seven hundred fifty-five thousand, seventy-two".