98882089920 has 168 divisors, whose sum is σ = 340267296096. Its totient is φ = 26356611072.

The previous prime is 98882089913. The next prime is 98882089927. The reversal of 98882089920 is 2998028889.

It is an interprime number because it is at equal distance from previous prime (98882089913) and next prime (98882089927).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98882089927) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7662994 + ... + 7675886.

It is an arithmetic number, because the mean of its divisors is an integer number (2025400572).

Almost surely, 2^98882089920 is an apocalyptic number.

98882089920 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 98882089920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170133648048).

98882089920 is an abundant number, since it is smaller than the sum of its proper divisors (241385206176).

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

98882089920 is a wasteful number, since it uses less digits than its factorization.

98882089920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15579 (or 15566 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 63.

The spelling of 98882089920 in words is "ninety-eight billion, eight hundred eighty-two million, eighty-nine thousand, nine hundred twenty".