1992331313280 has 1920 divisors, whose sum is σ = 9123360428160. Its totient is φ = 409677004800.

The previous prime is 1992331313233. The next prime is 1992331313281. The reversal of 1992331313280 is 823131332991.

1992331313280 is a `hidden beast` number, since 1 + 9 + 9 + 2 + 3 + 313 + 1 + 328 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1992331313281) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3157418565 + ... + 3157419195.

It is an arithmetic number, because the mean of its divisors is an integer number (4751750223).

Almost surely, 2^{1992331313280} is an apocalyptic number.

1992331313280 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 1992331313280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4561680214080).

1992331313280 is an abundant number, since it is smaller than the sum of its proper divisors (7131029114880).

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

1992331313280 is a wasteful number, since it uses less digits than its factorization.

1992331313280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 1992331313280 in words is "one trillion, nine hundred ninety-two billion, three hundred thirty-one million, three hundred thirteen thousand, two hundred eighty".