1982348539920 has 960 divisors, whose sum is σ = 8186133196800. Its totient is φ = 419814420480.

The previous prime is 1982348539909. The next prime is 1982348539921. The reversal of 1982348539920 is 299358432891.

1982348539920 is a `hidden beast` number, since 1 + 9 + 8 + 2 + 3 + 4 + 8 + 539 + 92 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (1982348539921) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3141598005 + ... + 3141598635.

It is an arithmetic number, because the mean of its divisors is an integer number (8527222080).

Almost surely, 2^{1982348539920} is an apocalyptic number.

1982348539920 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 1982348539920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4093066598400).

1982348539920 is an abundant number, since it is smaller than the sum of its proper divisors (6203784656880).

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

1982348539920 is a wasteful number, since it uses less digits than its factorization.

1982348539920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1348 (or 1339 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 1982348539920 in words is "one trillion, nine hundred eighty-two billion, three hundred forty-eight million, five hundred thirty-nine thousand, nine hundred twenty".