1982799175500 has 1728 divisors, whose sum is σ = 7933073541120. Its totient is φ = 423671040000.

The previous prime is 1982799175499. The next prime is 1982799175507. The reversal of 1982799175500 is 55719972891.

1982799175500 is a `hidden beast` number, since 1 + 9 + 8 + 2 + 79 + 9 + 1 + 7 + 550 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (1982799175507) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 42187216477 + ... + 42187216523.

It is an arithmetic number, because the mean of its divisors is an integer number (4590899040).

Almost surely, 2^{1982799175500} is an apocalyptic number.

1982799175500 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 1982799175500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3966536770560).

1982799175500 is an abundant number, since it is smaller than the sum of its proper divisors (5950274365620).

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

1982799175500 is a wasteful number, since it uses less digits than its factorization.

1982799175500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 14288400, while the sum is 63.

The spelling of 1982799175500 in words is "one trillion, nine hundred eighty-two billion, seven hundred ninety-nine million, one hundred seventy-five thousand, five hundred".