19967231242872 has 384 divisors, whose sum is σ = 56777980896000. Its totient is φ = 6333316853760.

The previous prime is 19967231242843. The next prime is 19967231242873. The reversal of 19967231242872 is 27824213276991.

19967231242872 is a `hidden beast` number, since 1 + 9 + 96 + 7 + 231 + 242 + 8 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19967231242873) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11161112154 + ... + 11161113942.

It is an arithmetic number, because the mean of its divisors is an integer number (147859325250).

Almost surely, 2^{19967231242872} is an apocalyptic number.

19967231242872 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 19967231242872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28388990448000).

19967231242872 is an abundant number, since it is smaller than the sum of its proper divisors (36810749653128).

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

19967231242872 is a wasteful number, since it uses less digits than its factorization.

19967231242872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2391 (or 2384 counting only the distinct ones).

The product of its digits is 36578304, while the sum is 63.

The spelling of 19967231242872 in words is "nineteen trillion, nine hundred sixty-seven billion, two hundred thirty-one million, two hundred forty-two thousand, eight hundred seventy-two".