98915315200 has 240 divisors, whose sum is σ = 265909699440. Its totient is φ = 36247633920.

The previous prime is 98915315197. The next prime is 98915315207. The reversal of 98915315200 is 251351989.

It is a happy number.

It is a super-2 number, since 2×98915315200² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98915315207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22794631 + ... + 22798969.

It is an arithmetic number, because the mean of its divisors is an integer number (1107957081).

Almost surely, 2^98915315200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98915315200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132954849720).

98915315200 is an abundant number, since it is smaller than the sum of its proper divisors (166994384240).

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

98915315200 is a wasteful number, since it uses less digits than its factorization.

98915315200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4517 (or 4496 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 43.

The spelling of 98915315200 in words is "ninety-eight billion, nine hundred fifteen million, three hundred fifteen thousand, two hundred".