98257328640 has 400 divisors, whose sum is σ = 352956826728. Its totient is φ = 26125369344.

The previous prime is 98257328639. The next prime is 98257328683. The reversal of 98257328640 is 4682375289.

98257328640 is a `hidden beast` number, since 9 + 8 + 2 + 573 + 2 + 8 + 64 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 20777492736 + 77479835904 = 144144^2 + 278352^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 127111294 + ... + 127112066.

Almost surely, 2^98257328640 is an apocalyptic number.

98257328640 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 98257328640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176478413364).

98257328640 is an abundant number, since it is smaller than the sum of its proper divisors (254699498088).

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

98257328640 is an equidigital number, since it uses as much as digits as its factorization.

98257328640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1421 (or 1396 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 98257328640 in words is "ninety-eight billion, two hundred fifty-seven million, three hundred twenty-eight thousand, six hundred forty".