98522645760 has 2160 divisors, whose sum is σ = 468938175552. Its totient is φ = 19508428800.

The previous prime is 98522645731. The next prime is 98522645797. The reversal of 98522645760 is 6754622589.

98522645760 is a `hidden beast` number, since 9 + 8 + 5 + 2 + 2 + 64 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 98522645697 and 98522645706.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2291224299 + ... + 2291224341.

Almost surely, 2^98522645760 is an apocalyptic number.

98522645760 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 98522645760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234469087776).

98522645760 is an abundant number, since it is smaller than the sum of its proper divisors (370415529792).

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

98522645760 is a wasteful number, since it uses less digits than its factorization.

98522645760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 98522645760 in words is "ninety-eight billion, five hundred twenty-two million, six hundred forty-five thousand, seven hundred sixty".