13583749251072 has 2048 divisors, whose sum is σ = 51725649346560. Its totient is φ = 3057647616000.

The previous prime is 13583749251043. The next prime is 13583749251203. The reversal of 13583749251072 is 27015294738531.

It is a tau number, because it is divible by the number of its divisors (2048).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 186078756828 + ... + 186078756900.

It is an arithmetic number, because the mean of its divisors is an integer number (25256664720).

Almost surely, 2^{13583749251072} is an apocalyptic number.

13583749251072 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 13583749251072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25862824673280).

13583749251072 is an abundant number, since it is smaller than the sum of its proper divisors (38141900095488).

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

13583749251072 is a wasteful number, since it uses less digits than its factorization.

13583749251072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 57.

The spelling of 13583749251072 in words is "thirteen trillion, five hundred eighty-three billion, seven hundred forty-nine million, two hundred fifty-one thousand, seventy-two".