98166934800 has 960 divisors, whose sum is σ = 408908113920. Its totient is φ = 22125312000.

The previous prime is 98166934781. The next prime is 98166934847. The reversal of 98166934800 is 843966189.

98166934800 is a `hidden beast` number, since 98 + 16 + 69 + 3 + 480 + 0 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 101098315 + ... + 101099285.

It is an arithmetic number, because the mean of its divisors is an integer number (425945952).

Almost surely, 2^98166934800 is an apocalyptic number.

98166934800 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 98166934800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204454056960).

98166934800 is an abundant number, since it is smaller than the sum of its proper divisors (310741179120).

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

98166934800 is a wasteful number, since it uses less digits than its factorization.

98166934800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1069 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 98166934800 in words is "ninety-eight billion, one hundred sixty-six million, nine hundred thirty-four thousand, eight hundred".