19785907547776 has 128 divisors (see below), whose sum is σ = 41702101056000. Its totient is φ = 9338612871168.

The previous prime is 19785907547773. The next prime is 19785907547801. The reversal of 19785907547776 is 67774570958791.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 19785907547776.

It is not an unprimeable number, because it can be changed into a prime (19785907547771) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30017521 + ... + 30669583.

It is an arithmetic number, because the mean of its divisors is an integer number (325797664500).

Almost surely, 2^{19785907547776} is an apocalyptic number.

19785907547776 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 19785907547776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20851050528000).

19785907547776 is an abundant number, since it is smaller than the sum of its proper divisors (21916193508224).

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

19785907547776 is a wasteful number, since it uses less digits than its factorization.

19785907547776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652306 (or 652294 counting only the distinct ones).

The product of its (nonzero) digits is 6534561600, while the sum is 82.

The spelling of 19785907547776 in words is "nineteen trillion, seven hundred eighty-five billion, nine hundred seven million, five hundred forty-seven thousand, seven hundred seventy-six".