980100000000 has 1215 divisors, whose sum is σ = 4015390033963. Its totient is φ = 237600000000.

The previous prime is 980099999953. The next prime is 980100000007. The reversal of 980100000000 is 1089.

The square root of 980100000000 is 990000.

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 696837613824 + 283262386176 = 834768^2 + 532224^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (980100000007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 89099999995 + ... + 89100000005.

Almost surely, 2^980100000000 is an apocalyptic number.

980100000000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

980100000000 is the 990000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 980100000000

980100000000 is an abundant number, since it is smaller than the sum of its proper divisors (3035290033963).

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

980100000000 is an frugal number, since it uses more digits than its factorization.

980100000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 980100000000 its reverse (1089), we get a palindrome (980100001089).

980100000000 divided by its reverse (1089) gives a square (900000000 = 30000²).

The spelling of 980100000000 in words is "nine hundred eighty billion, one hundred million", and thus it is an aban number.