98007310080 has 432 divisors, whose sum is σ = 344985338880. Its totient is φ = 25685655552.

The previous prime is 98007310021. The next prime is 98007310111. The reversal of 98007310080 is 8001370089.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 255893569 + ... + 255893951.

Almost surely, 2^98007310080 is an apocalyptic number.

98007310080 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 98007310080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172492669440).

98007310080 is an abundant number, since it is smaller than the sum of its proper divisors (246978028800).

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

98007310080 is a wasteful number, since it uses less digits than its factorization.

98007310080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 98007310080 in words is "ninety-eight billion, seven million, three hundred ten thousand, eighty".