98551502824320 has 6144 divisors, whose sum is σ = 497487142656000. Its totient is φ = 18155547131904.

The previous prime is 98551502824261. The next prime is 98551502824331. The reversal of 98551502824320 is 2342820515589.

98551502824320 is a `hidden beast` number, since 9 + 8 + 5 + 51 + 502 + 82 + 4 + 3 + 2 + 0 = 666.

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 767 ways as a sum of consecutive naturals, for example, 188434995579 + ... + 188434996101.

It is an arithmetic number, because the mean of its divisors is an integer number (80971214625).

Almost surely, 2^{98551502824320} is an apocalyptic number.

98551502824320 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 98551502824320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248743571328000).

98551502824320 is an abundant number, since it is smaller than the sum of its proper divisors (398935639831680).

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

98551502824320 is a wasteful number, since it uses less digits than its factorization.

98551502824320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 54.

The spelling of 98551502824320 in words is "ninety-eight trillion, five hundred fifty-one billion, five hundred two million, eight hundred twenty-four thousand, three hundred twenty".