19938728291832 has 128 divisors (see below), whose sum is σ = 64769586393600. Its totient is φ = 5564296249344.

The previous prime is 19938728291777. The next prime is 19938728291849. The reversal of 19938728291832 is 23819282783991.

19938728291832 is a `hidden beast` number, since 1 + 9 + 9 + 387 + 2 + 82 + 91 + 83 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 153272073 + ... + 153402104.

It is an arithmetic number, because the mean of its divisors is an integer number (506012393700).

Almost surely, 2^{19938728291832} is an apocalyptic number.

19938728291832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

19938728291832 is an abundant number, since it is smaller than the sum of its proper divisors (44830858101768).

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

19938728291832 is a wasteful number, since it uses less digits than its factorization.

19938728291832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306674242 (or 306674232 counting only the distinct ones).

The product of its digits is 188116992, while the sum is 72.

The spelling of 19938728291832 in words is "nineteen trillion, nine hundred thirty-eight billion, seven hundred twenty-eight million, two hundred ninety-one thousand, eight hundred thirty-two".