98521226035200 has 720 divisors, whose sum is σ = 363020497076160. Its totient is φ = 26195593789440.

The previous prime is 98521226035163. The next prime is 98521226035213. The reversal of 98521226035200 is 253062212589.

98521226035200 is a `hidden beast` number, since 9 + 8 + 5 + 2 + 12 + 2 + 603 + 5 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3837529564 + ... + 3837555236.

It is an arithmetic number, because the mean of its divisors is an integer number (504195134828).

Almost surely, 2^{98521226035200} is an apocalyptic number.

98521226035200 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 98521226035200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181510248538080).

98521226035200 is an abundant number, since it is smaller than the sum of its proper divisors (264499271040960).

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

98521226035200 is a wasteful number, since it uses less digits than its factorization.

98521226035200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26067 (or 26030 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

Adding to 98521226035200 its reverse (253062212589), we get a palindrome (98774288247789).

The spelling of 98521226035200 in words is "ninety-eight trillion, five hundred twenty-one billion, two hundred twenty-six million, thirty-five thousand, two hundred".