1992100420968 has 384 divisors, whose sum is σ = 6313680276480. Its totient is φ = 520238315520.

The previous prime is 1992100420957. The next prime is 1992100420969. The reversal of 1992100420968 is 8690240012991.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 1992100420968.

It is not an unprimeable number, because it can be changed into a prime (1992100420969) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 95091471 + ... + 95112417.

It is an arithmetic number, because the mean of its divisors is an integer number (16441875720).

Almost surely, 2^{1992100420968} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1992100420968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3156840138240).

1992100420968 is an abundant number, since it is smaller than the sum of its proper divisors (4321579855512).

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

1992100420968 is a wasteful number, since it uses less digits than its factorization.

1992100420968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21125 (or 21114 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 51.

The spelling of 1992100420968 in words is "one trillion, nine hundred ninety-two billion, one hundred million, four hundred twenty thousand, nine hundred sixty-eight".