98188091052480 has 1344 divisors, whose sum is σ = 421107464494080. Its totient is φ = 20815530024960.

The previous prime is 98188091052473. The next prime is 98188091052503. The reversal of 98188091052480 is 8425019088189.

98188091052480 is a `hidden beast` number, since 9 + 8 + 18 + 8 + 0 + 9 + 10 + 524 + 80 = 666.

It is a super-3 number, since 3×98188091052480³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 946768309 + ... + 946872011.

It is an arithmetic number, because the mean of its divisors is an integer number (313324006320).

Almost surely, 2^{98188091052480} is an apocalyptic number.

98188091052480 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 98188091052480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210553732247040).

98188091052480 is an abundant number, since it is smaller than the sum of its proper divisors (322919373441600).

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

98188091052480 is a wasteful number, since it uses less digits than its factorization.

98188091052480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103791 (or 103756 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 63.

The spelling of 98188091052480 in words is "ninety-eight trillion, one hundred eighty-eight billion, ninety-one million, fifty-two thousand, four hundred eighty".