320098242653280 has 1536 divisors, whose sum is σ = 1501508897280000. Its totient is φ = 61776282451968.

The previous prime is 320098242653237. The next prime is 320098242653297. The reversal of 320098242653280 is 82356242890023.

It is a happy number.

320098242653280 is a `hidden beast` number, since 3 + 2 + 0 + 0 + 9 + 8 + 2 + 4 + 26 + 532 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 215870236 + ... + 217348004.

It is an arithmetic number, because the mean of its divisors is an integer number (977544855000).

Almost surely, 2^{320098242653280} is an apocalyptic number.

320098242653280 is a gapful number since it is divisible by the number (30) 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 320098242653280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750754448640000).

320098242653280 is an abundant number, since it is smaller than the sum of its proper divisors (1181410654626720).

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

320098242653280 is a wasteful number, since it uses less digits than its factorization.

320098242653280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1477861 (or 1477847 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 320098242653280 in words is "three hundred twenty trillion, ninety-eight billion, two hundred forty-two million, six hundred fifty-three thousand, two hundred eighty".