19785239781296 has 160 divisors (see below), whose sum is σ = 43155212770560. Its totient is φ = 8710507238400.

The previous prime is 19785239781269. The next prime is 19785239781313. The reversal of 19785239781296 is 69218793258791.

It is a super-2 number, since 2×19785239781296² (a number of 27 digits) contains 22 as substring.

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, 3638996690 + ... + 3639002126.

It is an arithmetic number, because the mean of its divisors is an integer number (269720079816).

Almost surely, 2^{19785239781296} is an apocalyptic number.

19785239781296 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 19785239781296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21577606385280).

19785239781296 is an abundant number, since it is smaller than the sum of its proper divisors (23369972989264).

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

19785239781296 is a wasteful number, since it uses less digits than its factorization.

19785239781296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10643 (or 10637 counting only the distinct ones).

The product of its digits is 823011840, while the sum is 77.

The spelling of 19785239781296 in words is "nineteen trillion, seven hundred eighty-five billion, two hundred thirty-nine million, seven hundred eighty-one thousand, two hundred ninety-six".