98865930240 has 1568 divisors, whose sum is σ = 453825351936. Its totient is φ = 20065812480.

The previous prime is 98865930227. The next prime is 98865930259. The reversal of 98865930240 is 4203956889.

98865930240 is a `hidden beast` number, since 9 + 8 + 8 + 6 + 593 + 0 + 2 + 40 = 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2299207659 + ... + 2299207701.

Almost surely, 2^98865930240 is an apocalyptic number.

98865930240 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 98865930240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226912675968).

98865930240 is an abundant number, since it is smaller than the sum of its proper divisors (354959421696).

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

98865930240 is an equidigital number, since it uses as much as digits as its factorization.

98865930240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 98865930240 in words is "ninety-eight billion, eight hundred sixty-five million, nine hundred thirty thousand, two hundred forty".