98517888000 has 1056 divisors, whose sum is σ = 427751600640. Its totient is φ = 21300019200.

The previous prime is 98517887989. The next prime is 98517888017. The reversal of 98517888000 is 88871589.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 153215679 + ... + 153216321.

Almost surely, 2^98517888000 is an apocalyptic number.

98517888000 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 98517888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213875800320).

98517888000 is an abundant number, since it is smaller than the sum of its proper divisors (329233712640).

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

98517888000 is a wasteful number, since it uses less digits than its factorization.

98517888000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 54.

The spelling of 98517888000 in words is "ninety-eight billion, five hundred seventeen million, eight hundred eighty-eight thousand".