98948275200 has 198 divisors, whose sum is σ = 354282461624. Its totient is φ = 26386145280.

The previous prime is 98948275199. The next prime is 98948275267. The reversal of 98948275200 is 257284989.

98948275200 is a `hidden beast` number, since 9 + 8 + 94 + 8 + 27 + 520 + 0 = 666.

It is a super-2 number, since 2×98948275200² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 15669 + ... + 445131.

Almost surely, 2^98948275200 is an apocalyptic number.

98948275200 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 98948275200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177141230812).

98948275200 is an abundant number, since it is smaller than the sum of its proper divisors (255334186424).

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

98948275200 is a wasteful number, since it uses less digits than its factorization.

98948275200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429499 (or 429473 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 98948275200 in words is "ninety-eight billion, nine hundred forty-eight million, two hundred seventy-five thousand, two hundred".