19957230731232 has 288 divisors, whose sum is σ = 61571981356704. Its totient is φ = 6106941849600.

The previous prime is 19957230731177. The next prime is 19957230731237. The reversal of 19957230731232 is 23213703275991.

It is a happy number.

19957230731232 is a `hidden beast` number, since 1 + 9 + 9 + 5 + 72 + 307 + 31 + 232 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19957230731237) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1115481007 + ... + 1115498897.

It is an arithmetic number, because the mean of its divisors is an integer number (213791601933).

Almost surely, 2^{19957230731232} is an apocalyptic number.

19957230731232 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 19957230731232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30785990678352).

19957230731232 is an abundant number, since it is smaller than the sum of its proper divisors (41614750625472).

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

19957230731232 is a wasteful number, since it uses less digits than its factorization.

19957230731232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23522 (or 23511 counting only the distinct ones).

The product of its (nonzero) digits is 4286520, while the sum is 54.

The spelling of 19957230731232 in words is "nineteen trillion, nine hundred fifty-seven billion, two hundred thirty million, seven hundred thirty-one thousand, two hundred thirty-two".