19939657310976 has 288 divisors, whose sum is σ = 57959267627520. Its totient is φ = 6048791396352.

The previous prime is 19939657310929. The next prime is 19939657310983. The reversal of 19939657310976 is 67901375693991.

It is a junction number, because it is equal to n+sod(n) for n = 19939657310898 and 19939657310907.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 403538560 + ... + 403587968.

It is an arithmetic number, because the mean of its divisors is an integer number (201247457040).

Almost surely, 2^{19939657310976} is an apocalyptic number.

19939657310976 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 19939657310976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28979633813760).

19939657310976 is an abundant number, since it is smaller than the sum of its proper divisors (38019610316544).

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

19939657310976 is a wasteful number, since it uses less digits than its factorization.

19939657310976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50011 (or 49997 counting only the distinct ones).

The product of its (nonzero) digits is 520812180, while the sum is 75.

The spelling of 19939657310976 in words is "nineteen trillion, nine hundred thirty-nine billion, six hundred fifty-seven million, three hundred ten thousand, nine hundred seventy-six".