980817102720 has 1280 divisors, whose sum is σ = 4333108348800. Its totient is φ = 205881606144.

The previous prime is 980817102689. The next prime is 980817102721. The reversal of 980817102720 is 27201718089.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (980817102721) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1212381676 + ... + 1212382484.

Almost surely, 2^980817102720 is an apocalyptic number.

980817102720 is a gapful number since it is divisible by the number (90) 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 980817102720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2166554174400).

980817102720 is an abundant number, since it is smaller than the sum of its proper divisors (3352291246080).

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

980817102720 is a wasteful number, since it uses less digits than its factorization.

980817102720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1117 (or 1096 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 45.

The spelling of 980817102720 in words is "nine hundred eighty billion, eight hundred seventeen million, one hundred two thousand, seven hundred twenty".