98583367680 has 416 divisors, whose sum is σ = 400559558400. Its totient is φ = 22532456448.

The previous prime is 98583367657. The next prime is 98583367787. The reversal of 98583367680 is 8676338589.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 31 ways as a sum of consecutive naturals, for example, 3857986 + ... + 3883454.

Almost surely, 2^98583367680 is an apocalyptic number.

98583367680 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 98583367680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200279779200).

98583367680 is an abundant number, since it is smaller than the sum of its proper divisors (301976190720).

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

98583367680 is a wasteful number, since it uses less digits than its factorization.

98583367680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25514 (or 25486 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 98583367680 in words is "ninety-eight billion, five hundred eighty-three million, three hundred sixty-seven thousand, six hundred eighty".