98093613600 has 576 divisors, whose sum is σ = 369820080000. Its totient is φ = 25062912000.

The previous prime is 98093613589. The next prime is 98093613617. The reversal of 98093613600 is 631639089.

98093613600 is a `hidden beast` number, since 9 + 8 + 0 + 9 + 36 + 1 + 3 + 600 = 666.

It is a Cunningham number, because it is equal to 313199²-1.

It is a super-2 number, since 2×98093613600² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 93333075 + ... + 93334125.

It is an arithmetic number, because the mean of its divisors is an integer number (642048750).

Almost surely, 2^98093613600 is an apocalyptic number.

98093613600 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 98093613600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184910040000).

98093613600 is an abundant number, since it is smaller than the sum of its proper divisors (271726466400).

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

98093613600 is a wasteful number, since it uses less digits than its factorization.

98093613600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1258 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 98093613600 in words is "ninety-eight billion, ninety-three million, six hundred thirteen thousand, six hundred".