1872983844900 has 729 divisors, whose sum is σ = 7228682680401. Its totient is φ = 405578456640.

The previous prime is 1872983844857. The next prime is 1872983844911. The reversal of 1872983844900 is 94483892781.

The square root of 1872983844900 is 1368570.

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

1872983844900 is a `hidden beast` number, since 1 + 8 + 72 + 98 + 38 + 449 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 674274184164 + 1198709660736 = 821142^2 + 1094856^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 98578097091 + ... + 98578097109.

Almost surely, 2^{1872983844900} is an apocalyptic number.

1872983844900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1872983844900 is the 1368570-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1872983844900

1872983844900 is an abundant number, since it is smaller than the sum of its proper divisors (5355698835501).

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

1872983844900 is an frugal number, since it uses more digits than its factorization.

1872983844900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 1872983844900 in words is "one trillion, eight hundred seventy-two billion, nine hundred eighty-three million, eight hundred forty-four thousand, nine hundred".