98546780160 has 576 divisors, whose sum is σ = 362747548800. Its totient is φ = 24673517568.

The previous prime is 98546780153. The next prime is 98546780161. The reversal of 98546780160 is 6108764589.

98546780160 is a `hidden beast` number, since 9 + 8 + 546 + 7 + 80 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×98546780160² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 98546780097 and 98546780106.

It is not an unprimeable number, because it can be changed into a prime (98546780161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 292423512 + ... + 292423848.

It is an arithmetic number, because the mean of its divisors is an integer number (629770050).

Almost surely, 2^98546780160 is an apocalyptic number.

98546780160 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 98546780160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181373774400).

98546780160 is an abundant number, since it is smaller than the sum of its proper divisors (264200768640).

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

98546780160 is a wasteful number, since it uses less digits than its factorization.

98546780160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 98546780160 in words is "ninety-eight billion, five hundred forty-six million, seven hundred eighty thousand, one hundred sixty".