98528693760 has 640 divisors, whose sum is σ = 412944998400. Its totient is φ = 21791047680.

The previous prime is 98528693719. The next prime is 98528693777. The reversal of 98528693760 is 6739682589.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14995756 + ... + 15002324.

It is an arithmetic number, because the mean of its divisors is an integer number (645226560).

Almost surely, 2^98528693760 is an apocalyptic number.

98528693760 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 98528693760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206472499200).

98528693760 is an abundant number, since it is smaller than the sum of its proper divisors (314416304640).

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

98528693760 is a wasteful number, since it uses less digits than its factorization.

98528693760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6639 (or 6617 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 98528693760 in words is "ninety-eight billion, five hundred twenty-eight million, six hundred ninety-three thousand, seven hundred sixty".