98665536000 has 320 divisors, whose sum is σ = 330487597440. Its totient is φ = 26114457600.

The previous prime is 98665535987. The next prime is 98665536019. The reversal of 98665536000 is 63556689.

It is a tau number, because it is divible by the number of its divisors (320).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26686152 + ... + 26689848.

It is an arithmetic number, because the mean of its divisors is an integer number (1032773742).

Almost surely, 2^98665536000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98665536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165243798720).

98665536000 is an abundant number, since it is smaller than the sum of its proper divisors (231822061440).

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

98665536000 is a wasteful number, since it uses less digits than its factorization.

98665536000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3872 (or 3846 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 48.

The spelling of 98665536000 in words is "ninety-eight billion, six hundred sixty-five million, five hundred thirty-six thousand".