98688567040 has 288 divisors, whose sum is σ = 275773994496. Its totient is φ = 33140490240.

The previous prime is 98688567031. The next prime is 98688567077. The reversal of 98688567040 is 4076588689.

It is a self number, because there is not a number n which added to its sum of digits gives 98688567040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97421574 + ... + 97422586.

It is an arithmetic number, because the mean of its divisors is an integer number (957548592).

Almost surely, 2^98688567040 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 98688567040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137886997248).

98688567040 is an abundant number, since it is smaller than the sum of its proper divisors (177085427456).

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

98688567040 is a wasteful number, since it uses less digits than its factorization.

98688567040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1255 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 61.

The spelling of 98688567040 in words is "ninety-eight billion, six hundred eighty-eight million, five hundred sixty-seven thousand, forty".