1982872975500 has 1152 divisors, whose sum is σ = 7001499907584. Its totient is φ = 470790144000.

The previous prime is 1982872975483. The next prime is 1982872975519. The reversal of 1982872975500 is 55792782891.

1982872975500 is a `hidden beast` number, since 1 + 9 + 8 + 2 + 8 + 72 + 9 + 7 + 550 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 11461693414 + ... + 11461693586.

It is an arithmetic number, because the mean of its divisors is an integer number (6077690892).

Almost surely, 2^{1982872975500} is an apocalyptic number.

1982872975500 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 1982872975500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3500749953792).

1982872975500 is an abundant number, since it is smaller than the sum of its proper divisors (5018626932084).

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

1982872975500 is a wasteful number, since it uses less digits than its factorization.

1982872975500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 25401600, while the sum is 63.

The spelling of 1982872975500 in words is "one trillion, nine hundred eighty-two billion, eight hundred seventy-two million, nine hundred seventy-five thousand, five hundred".