98196417285120 has 1584 divisors, whose sum is σ = 434673594351360. Its totient is φ = 20058141818880.

The previous prime is 98196417285059. The next prime is 98196417285133. The reversal of 98196417285120 is 2158271469189.

98196417285120 is a `hidden beast` number, since 9 + 8 + 1 + 9 + 6 + 41 + 72 + 8 + 512 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a super-2 number, since 2×98196417285120² (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 an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2302734519 + ... + 2302777161.

Almost surely, 2^{98196417285120} is an apocalyptic number.

98196417285120 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 98196417285120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217336797175680).

98196417285120 is an abundant number, since it is smaller than the sum of its proper divisors (336477177066240).

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

98196417285120 is a wasteful number, since it uses less digits than its factorization.

98196417285120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42762 (or 42730 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 63.

The spelling of 98196417285120 in words is "ninety-eight trillion, one hundred ninety-six billion, four hundred seventeen million, two hundred eighty-five thousand, one hundred twenty".