1982095012800 has 2352 divisors, whose sum is σ = 8883335430144. Its totient is φ = 425502720000.

The previous prime is 1982095012757. The next prime is 1982095012801. The reversal of 1982095012800 is 82105902891.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1982095012801) by changing a digit.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 10377460705 + ... + 10377460895.

Almost surely, 2^{1982095012800} is an apocalyptic number.

1982095012800 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 1982095012800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4441667715072).

1982095012800 is an abundant number, since it is smaller than the sum of its proper divisors (6901240417344).

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

1982095012800 is a wasteful number, since it uses less digits than its factorization.

1982095012800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The spelling of 1982095012800 in words is "one trillion, nine hundred eighty-two billion, ninety-five million, twelve thousand, eight hundred".