98352979200 has 324 divisors, whose sum is σ = 401869188448. Its totient is φ = 22480588800.

The previous prime is 98352979159. The next prime is 98352979253. The reversal of 98352979200 is 297925389.

98352979200 is a `hidden beast` number, since 98 + 3 + 529 + 7 + 9 + 20 + 0 = 666.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 281235 + ... + 525165.

Almost surely, 2^98352979200 is an apocalyptic number.

98352979200 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 98352979200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200934594224).

98352979200 is an abundant number, since it is smaller than the sum of its proper divisors (303516209248).

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

98352979200 is a wasteful number, since it uses less digits than its factorization.

98352979200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243970 (or 243948 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 98352979200 in words is "ninety-eight billion, three hundred fifty-two million, nine hundred seventy-nine thousand, two hundred".