98480068323840 has 2880 divisors, whose sum is σ = 443607401952000. Its totient is φ = 20443049754624.

The previous prime is 98480068323839. The next prime is 98480068323841. The reversal of 98480068323840 is 4832386008489.

98480068323840 is a `hidden beast` number, since 9 + 8 + 480 + 0 + 6 + 83 + 2 + 38 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (98480068323839) and next prime (98480068323841).

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×98480068323840² (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (98480068323841) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 57963547311 + ... + 57963549009.

It is an arithmetic number, because the mean of its divisors is an integer number (154030347900).

Almost surely, 2^{98480068323840} is an apocalyptic number.

98480068323840 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 98480068323840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221803700976000).

98480068323840 is an abundant number, since it is smaller than the sum of its proper divisors (345127333628160).

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

98480068323840 is an equidigital number, since it uses as much as digits as its factorization.

98480068323840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1799 (or 1762 counting only the distinct ones).

The product of its (nonzero) digits is 63700992, while the sum is 63.

The spelling of 98480068323840 in words is "ninety-eight trillion, four hundred eighty billion, sixty-eight million, three hundred twenty-three thousand, eight hundred forty".