1985872824100 has 243 divisors, whose sum is σ = 4960521057331. Its totient is φ = 689498268800.

The previous prime is 1985872824097. The next prime is 1985872824151. The reversal of 1985872824100 is 14282785891.

The square root of 1985872824100 is 1409210.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 682768384804 + 1303104439296 = 826298^2 + 1141536^2 .

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3565301022 + ... + 3565301578.

Almost surely, 2^{1985872824100} is an apocalyptic number.

1985872824100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1985872824100 is the 1409210-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1985872824100

1985872824100 is an abundant number, since it is smaller than the sum of its proper divisors (2974648233231).

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

1985872824100 is a wasteful number, since it uses less digits than its factorization.

1985872824100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1196 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 55.

The spelling of 1985872824100 in words is "one trillion, nine hundred eighty-five billion, eight hundred seventy-two million, eight hundred twenty-four thousand, one hundred".