98147157086160 has 6400 divisors, whose sum is σ = 477516103680000. Its totient is φ = 18488137973760.

The previous prime is 98147157086123. The next prime is 98147157086207. The reversal of 98147157086160 is 6168075174189.

98147157086160 is a `hidden beast` number, since 9 + 8 + 1 + 4 + 7 + 1 + 5 + 7 + 0 + 8 + 616 + 0 = 666.

98147157086160 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1279 ways as a sum of consecutive naturals, for example, 1242369077001 + ... + 1242369077079.

It is an arithmetic number, because the mean of its divisors is an integer number (74611891200).

Almost surely, 2^{98147157086160} is an apocalyptic number.

98147157086160 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 98147157086160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238758051840000).

98147157086160 is an abundant number, since it is smaller than the sum of its proper divisors (379368946593840).

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

98147157086160 is a wasteful number, since it uses less digits than its factorization.

98147157086160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 63.

The spelling of 98147157086160 in words is "ninety-eight trillion, one hundred forty-seven billion, one hundred fifty-seven million, eighty-six thousand, one hundred sixty".