98738017560 has 576 divisors, whose sum is σ = 419591390400. Its totient is φ = 19605307392.

The previous prime is 98738017531. The next prime is 98738017607. The reversal of 98738017560 is 6571083789.

98738017560 is a `hidden beast` number, since 9 + 8 + 73 + 8 + 0 + 1 + 7 + 560 = 666.

It is a super-2 number, since 2×98738017560² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 98738017497 and 98738017506.

It is a congruent number.

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, 9462426 + ... + 9472854.

It is an arithmetic number, because the mean of its divisors is an integer number (728457275).

Almost surely, 2^98738017560 is an apocalyptic number.

98738017560 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 98738017560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209795695200).

98738017560 is an abundant number, since it is smaller than the sum of its proper divisors (320853372840).

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

98738017560 is a wasteful number, since it uses less digits than its factorization.

98738017560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10500 (or 10476 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 98738017560 in words is "ninety-eight billion, seven hundred thirty-eight million, seventeen thousand, five hundred sixty".