1992828995712 has 96 divisors (see below), whose sum is σ = 5983902362880. Its totient is φ = 635394743808.

The previous prime is 1992828995711. The next prime is 1992828995737. The reversal of 1992828995712 is 2175998282991.

1992828995712 is a `hidden beast` number, since 1 + 9 + 9 + 28 + 28 + 9 + 9 + 571 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (1992828995711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37579728 + ... + 37632719.

It is an arithmetic number, because the mean of its divisors is an integer number (62332316280).

Almost surely, 2^{1992828995712} is an apocalyptic number.

1992828995712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1992828995712 is an abundant number, since it is smaller than the sum of its proper divisors (3991073367168).

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

1992828995712 is a wasteful number, since it uses less digits than its factorization.

1992828995712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75212490 (or 75212475 counting only the distinct ones).

The product of its digits is 117573120, while the sum is 72.

The spelling of 1992828995712 in words is "one trillion, nine hundred ninety-two billion, eight hundred twenty-eight million, nine hundred ninety-five thousand, seven hundred twelve".