98817425280 has 1536 divisors, whose sum is σ = 441721036800. Its totient is φ = 20424130560.

The previous prime is 98817425263. The next prime is 98817425293. The reversal of 98817425280 is 8252471889.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1353663324 + ... + 1353663396.

It is an arithmetic number, because the mean of its divisors is an integer number (287578800).

Almost surely, 2^98817425280 is an apocalyptic number.

98817425280 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 98817425280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220860518400).

98817425280 is an abundant number, since it is smaller than the sum of its proper divisors (342903611520).

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

98817425280 is a wasteful number, since it uses less digits than its factorization.

98817425280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 98817425280 in words is "ninety-eight billion, eight hundred seventeen million, four hundred twenty-five thousand, two hundred eighty".