19962961920000 has 1700 divisors, whose sum is σ = 81452575594896. Its totient is φ = 4830658560000.

The previous prime is 19962961919983. The next prime is 19962961920091. The reversal of 19962961920000 is 2916926991.

19962961920000 is a `hidden beast` number, since 1 + 9 + 9 + 629 + 6 + 1 + 9 + 2 + 0 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 36495359727 + ... + 36495360273.

Almost surely, 2^{19962961920000} is an apocalyptic number.

19962961920000 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 19962961920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40726287797448).

19962961920000 is an abundant number, since it is smaller than the sum of its proper divisors (61489613674896).

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

19962961920000 is an frugal number, since it uses more digits than its factorization.

19962961920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 944784, while the sum is 54.

The spelling of 19962961920000 in words is "nineteen trillion, nine hundred sixty-two billion, nine hundred sixty-one million, nine hundred twenty thousand".