19820961792000 has 952 divisors, whose sum is σ = 74197531505760. Its totient is φ = 5283997286400.

The previous prime is 19820961791951. The next prime is 19820961792001. The reversal of 19820961792000 is 29716902891.

19820961792000 is a `hidden beast` number, since 19 + 8 + 2 + 0 + 9 + 617 + 9 + 2 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (19820961792001) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 5971966341 + ... + 5971969659.

Almost surely, 2^{19820961792000} is an apocalyptic number.

19820961792000 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 19820961792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37098765752880).

19820961792000 is an abundant number, since it is smaller than the sum of its proper divisors (54376569713760).

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

19820961792000 is an frugal number, since it uses more digits than its factorization.

19820961792000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3384 (or 3329 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 54.

The spelling of 19820961792000 in words is "nineteen trillion, eight hundred twenty billion, nine hundred sixty-one million, seven hundred ninety-two thousand".