98093654026200 has 1152 divisors, whose sum is σ = 407314444492800. Its totient is φ = 20663672832000.

The previous prime is 98093654026157. The next prime is 98093654026237. The reversal of 98093654026200 is 262045639089.

It is a happy number.

98093654026200 is a `hidden beast` number, since 9 + 8 + 0 + 9 + 3 + 6 + 5 + 4 + 0 + 2 + 620 + 0 = 666.

98093654026200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2057266360 + ... + 2057314040.

It is an arithmetic number, because the mean of its divisors is an integer number (353571566400).

Almost surely, 2^{98093654026200} is an apocalyptic number.

98093654026200 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 98093654026200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203657222246400).

98093654026200 is an abundant number, since it is smaller than the sum of its proper divisors (309220790466600).

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

98093654026200 is a wasteful number, since it uses less digits than its factorization.

98093654026200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47993 (or 47981 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 98093654026200 in words is "ninety-eight trillion, ninety-three billion, six hundred fifty-four million, twenty-six thousand, two hundred".