98059052520 has 960 divisors, whose sum is σ = 410351918400. Its totient is φ = 20652503040.

The previous prime is 98059052513. The next prime is 98059052521. The reversal of 98059052520 is 2525095089.

98059052520 is a `hidden beast` number, since 9 + 8 + 0 + 590 + 5 + 2 + 52 + 0 = 666.

It is a super-3 number, since 3×98059052520³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98059052521) 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 239 ways as a sum of consecutive naturals, for example, 5768179552 + ... + 5768179568.

It is an arithmetic number, because the mean of its divisors is an integer number (427449915).

Almost surely, 2^98059052520 is an apocalyptic number.

98059052520 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 98059052520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205175959200).

98059052520 is an abundant number, since it is smaller than the sum of its proper divisors (312292865880).

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

98059052520 is a wasteful number, since it uses less digits than its factorization.

98059052520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 45.

The spelling of 98059052520 in words is "ninety-eight billion, fifty-nine million, fifty-two thousand, five hundred twenty".