98993066400 has 216 divisors, whose sum is σ = 349346038860. Its totient is φ = 26377605120.

The previous prime is 98993066369. The next prime is 98993066423. The reversal of 98993066400 is 466039989.

It is a happy number.

98993066400 is a `hidden beast` number, since 98 + 9 + 93 + 0 + 66 + 400 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 37367982864 + 61625083536 = 193308^2 + 248244^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10744996 + ... + 10754204.

Almost surely, 2^98993066400 is an apocalyptic number.

98993066400 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 98993066400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174673019430).

98993066400 is an abundant number, since it is smaller than the sum of its proper divisors (250352972460).

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

98993066400 is a wasteful number, since it uses less digits than its factorization.

98993066400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10728 (or 10712 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 98993066400 in words is "ninety-eight billion, nine hundred ninety-three million, sixty-six thousand, four hundred".