12591972423296 has 512 divisors, whose sum is σ = 30844873113600. Its totient is φ = 5006599372800.

The previous prime is 12591972423257. The next prime is 12591972423409. The reversal of 12591972423296 is 69232427919521.

It is a Harshad number since it is a multiple of its sum of digits (62).

Its product of digits (29393280) is a multiple of the sum of its prime factors (896).

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 63 ways as a sum of consecutive naturals, for example, 25856205965 + ... + 25856206451.

It is an arithmetic number, because the mean of its divisors is an integer number (60243892800).

Almost surely, 2^{12591972423296} is an apocalyptic number.

12591972423296 is a gapful number since it is divisible by the number (16) 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 12591972423296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15422436556800).

12591972423296 is an abundant number, since it is smaller than the sum of its proper divisors (18252900690304).

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

12591972423296 is a wasteful number, since it uses less digits than its factorization.

12591972423296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 896 (or 884 counting only the distinct ones).

The product of its digits is 29393280, while the sum is 62.

The spelling of 12591972423296 in words is "twelve trillion, five hundred ninety-one billion, nine hundred seventy-two million, four hundred twenty-three thousand, two hundred ninety-six".