98505696377088 has 3456 divisors, whose sum is σ = 414044118319104. Its totient is φ = 21671077478400.

The previous prime is 98505696377087. The next prime is 98505696377107. The reversal of 98505696377088 is 88077369650589.

98505696377088 is a `hidden beast` number, since 9 + 8 + 505 + 6 + 9 + 6 + 37 + 70 + 8 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 98505696376998 and 98505696377016.

It is not an unprimeable number, because it can be changed into a prime (98505696377087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 363489654393 + ... + 363489654663.

It is an arithmetic number, because the mean of its divisors is an integer number (119804432384).

Almost surely, 2^{98505696377088} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98505696377088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207022059159552).

98505696377088 is an abundant number, since it is smaller than the sum of its proper divisors (315538421942016).

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

98505696377088 is a wasteful number, since it uses less digits than its factorization.

98505696377088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 5486745600, while the sum is 81.

The spelling of 98505696377088 in words is "ninety-eight trillion, five hundred five billion, six hundred ninety-six million, three hundred seventy-seven thousand, eighty-eight".