98280491013360 has 640 divisors, whose sum is σ = 347599752192000. Its totient is φ = 25511611281408.

The previous prime is 98280491013323. The next prime is 98280491013377. The reversal of 98280491013360 is 6331019408289.

98280491013360 is a `hidden beast` number, since 9 + 8 + 2 + 80 + 491 + 0 + 13 + 3 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 98280491013297 and 98280491013306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 31919612301 + ... + 31919615379.

It is an arithmetic number, because the mean of its divisors is an integer number (543124612800).

Almost surely, 2^{98280491013360} is an apocalyptic number.

98280491013360 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 98280491013360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173799876096000).

98280491013360 is an abundant number, since it is smaller than the sum of its proper divisors (249319261178640).

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

98280491013360 is a wasteful number, since it uses less digits than its factorization.

98280491013360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4750 (or 4738 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 98280491013360 in words is "ninety-eight trillion, two hundred eighty billion, four hundred ninety-one million, thirteen thousand, three hundred sixty".