19739123281920 has 1248 divisors, whose sum is σ = 75297157479936. Its totient is φ = 4324660346880.

The previous prime is 19739123281879. The next prime is 19739123281961. The reversal of 19739123281920 is 2918232193791.

It is an interprime number because it is at equal distance from previous prime (19739123281879) and next prime (19739123281961).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 67369021294 + ... + 67369021586.

Almost surely, 2^{19739123281920} is an apocalyptic number.

19739123281920 is a gapful number since it is divisible by the number (10) 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 19739123281920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37648578739968).

19739123281920 is an abundant number, since it is smaller than the sum of its proper divisors (55558034198016).

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

19739123281920 is a wasteful number, since it uses less digits than its factorization.

19739123281920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 57.

The spelling of 19739123281920 in words is "nineteen trillion, seven hundred thirty-nine billion, one hundred twenty-three million, two hundred eighty-one thousand, nine hundred twenty".