98506894510080 has 1728 divisors, whose sum is σ = 416370651540480. Its totient is φ = 21435291795456.

The previous prime is 98506894510051. The next prime is 98506894510081. The reversal of 98506894510080 is 8001549860589.

98506894510080 is a `hidden beast` number, since 9 + 8 + 50 + 68 + 9 + 4 + 510 + 0 + 8 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (98506894510081) 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 143 ways as a sum of consecutive naturals, for example, 23161741234 + ... + 23161745486.

It is an arithmetic number, because the mean of its divisors is an integer number (240955238160).

Almost surely, 2^{98506894510080} is an apocalyptic number.

98506894510080 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 98506894510080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208185325770240).

98506894510080 is an abundant number, since it is smaller than the sum of its proper divisors (317863757030400).

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

98506894510080 is a wasteful number, since it uses less digits than its factorization.

98506894510080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4546 (or 4516 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 63.

The spelling of 98506894510080 in words is "ninety-eight trillion, five hundred six billion, eight hundred ninety-four million, five hundred ten thousand, eighty".