98160416053056 has 1792 divisors, whose sum is σ = 369613062144000. Its totient is φ = 24902044876800.

The previous prime is 98160416053031. The next prime is 98160416053079. The reversal of 98160416053056 is 65035061406189.

98160416053056 is a `hidden beast` number, since 9 + 8 + 1 + 6 + 0 + 41 + 60 + 530 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 98160416052993 and 98160416053011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 47581393081 + ... + 47581395143.

Almost surely, 2^{98160416053056} is an apocalyptic number.

98160416053056 is a gapful number since it is divisible by the number (96) 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 98160416053056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184806531072000).

98160416053056 is an abundant number, since it is smaller than the sum of its proper divisors (271452646090944).

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

98160416053056 is a wasteful number, since it uses less digits than its factorization.

98160416053056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2317 (or 2301 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 98160416053056 in words is "ninety-eight trillion, one hundred sixty billion, four hundred sixteen million, fifty-three thousand, fifty-six".