98632089920 has 448 divisors, whose sum is σ = 306561110016. Its totient is φ = 29382082560.

The previous prime is 98632089917. The next prime is 98632089923. The reversal of 98632089920 is 2998023689.

It is an interprime number because it is at equal distance from previous prime (98632089917) and next prime (98632089923).

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98632089923) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33399164 + ... + 33402116.

It is an arithmetic number, because the mean of its divisors is an integer number (684288192).

Almost surely, 2^98632089920 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 98632089920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153280555008).

98632089920 is an abundant number, since it is smaller than the sum of its proper divisors (207929020096).

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

98632089920 is a wasteful number, since it uses less digits than its factorization.

98632089920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3058 (or 3048 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 56.

The spelling of 98632089920 in words is "ninety-eight billion, six hundred thirty-two million, eighty-nine thousand, nine hundred twenty".