1880984820100 has 243 divisors, whose sum is σ = 4380771746127. Its totient is φ = 700974024960.

The previous prime is 1880984820097. The next prime is 1880984820133. The reversal of 1880984820100 is 10284890881.

The square root of 1880984820100 is 1371490.

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 391432917316 + 1489551902784 = 625646^2 + 1220472^2 .

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, 21134660856 + ... + 21134660944.

Almost surely, 2^{1880984820100} is an apocalyptic number.

1880984820100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1880984820100 is the 1371490-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1880984820100

1880984820100 is an abundant number, since it is smaller than the sum of its proper divisors (2499786926027).

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

1880984820100 is an equidigital number, since it uses as much as digits as its factorization.

1880984820100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 49.

Multiplying 1880984820100 by its sum of digits (49), we get a square (92168256184900 = 9600430²).

The spelling of 1880984820100 in words is "one trillion, eight hundred eighty billion, nine hundred eighty-four million, eight hundred twenty thousand, one hundred".