98598508001280 has 1152 divisors, whose sum is σ = 405455885452800. Its totient is φ = 22511835021312.

The previous prime is 98598508001233. The next prime is 98598508001309. The reversal of 98598508001280 is 8210080589589.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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, 19038133731 + ... + 19038138909.

It is an arithmetic number, because the mean of its divisors is an integer number (351958233900).

Almost surely, 2^{98598508001280} is an apocalyptic number.

98598508001280 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 98598508001280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202727942726400).

98598508001280 is an abundant number, since it is smaller than the sum of its proper divisors (306857377451520).

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

98598508001280 is a wasteful number, since it uses less digits than its factorization.

98598508001280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6321 (or 6289 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 63.

The spelling of 98598508001280 in words is "ninety-eight trillion, five hundred ninety-eight billion, five hundred eight million, one thousand, two hundred eighty".