98086424167872 has 336 divisors, whose sum is σ = 335992742430240. Its totient is φ = 27978048000000.

The previous prime is 98086424167817. The next prime is 98086424167889. The reversal of 98086424167872 is 27876142468089.

98086424167872 is a `hidden beast` number, since 9 + 80 + 8 + 64 + 2 + 416 + 7 + 8 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 98086424167872.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49924122 + ... + 51851622.

It is an arithmetic number, because the mean of its divisors is an integer number (999978400090).

Almost surely, 2^{98086424167872} 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 98086424167872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167996371215120).

98086424167872 is an abundant number, since it is smaller than the sum of its proper divisors (237906318262368).

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

98086424167872 is a wasteful number, since it uses less digits than its factorization.

98086424167872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1928137 (or 1928114 counting only the distinct ones).

The product of its (nonzero) digits is 520224768, while the sum is 72.

The spelling of 98086424167872 in words is "ninety-eight trillion, eighty-six billion, four hundred twenty-four million, one hundred sixty-seven thousand, eight hundred seventy-two".