98162645760 has 1728 divisors, whose sum is σ = 418757713920. Its totient is φ = 21021327360.

The previous prime is 98162645719. The next prime is 98162645807. The reversal of 98162645760 is 6754626189.

98162645760 is a `hidden beast` number, since 9 + 8 + 1 + 6 + 2 + 64 + 576 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 98162645697 and 98162645706.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2653044462 + ... + 2653044498.

It is an arithmetic number, because the mean of its divisors is an integer number (242336640).

Almost surely, 2^98162645760 is an apocalyptic number.

98162645760 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 98162645760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209378856960).

98162645760 is an abundant number, since it is smaller than the sum of its proper divisors (320595068160).

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

98162645760 is a wasteful number, since it uses less digits than its factorization.

98162645760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 98162645760 in words is "ninety-eight billion, one hundred sixty-two million, six hundred forty-five thousand, seven hundred sixty".