98228775600 has 240 divisors, whose sum is σ = 352720058400. Its totient is φ = 25962209280.

The previous prime is 98228775581. The next prime is 98228775629. The reversal of 98228775600 is 657782289.

It is a happy number.

98228775600 is a `hidden beast` number, since 9 + 8 + 2 + 2 + 8 + 77 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1180156 + ... + 1260644.

It is an arithmetic number, because the mean of its divisors is an integer number (1469666910).

Almost surely, 2^98228775600 is an apocalyptic number.

98228775600 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 98228775600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176360029200).

98228775600 is an abundant number, since it is smaller than the sum of its proper divisors (254491282800).

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

98228775600 is a wasteful number, since it uses less digits than its factorization.

98228775600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80629 (or 80612 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 98228775600 in words is "ninety-eight billion, two hundred twenty-eight million, seven hundred seventy-five thousand, six hundred".