98762727168 has 1008 divisors, whose sum is σ = 373182727680. Its totient is φ = 25422667776.

The previous prime is 98762727143. The next prime is 98762727181. The reversal of 98762727168 is 86172726789.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (28449792) is a multiple of the sum of its prime factors (256).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 570882730 + ... + 570882902.

It is an arithmetic number, because the mean of its divisors is an integer number (370220960).

Almost surely, 2^98762727168 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 98762727168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186591363840).

98762727168 is an abundant number, since it is smaller than the sum of its proper divisors (274420000512).

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

98762727168 is a wasteful number, since it uses less digits than its factorization.

98762727168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 227 counting only the distinct ones).

The product of its digits is 28449792, while the sum is 63.

The spelling of 98762727168 in words is "ninety-eight billion, seven hundred sixty-two million, seven hundred twenty-seven thousand, one hundred sixty-eight".