98568662400 has 768 divisors, whose sum is σ = 392108236800. Its totient is φ = 24037171200.

The previous prime is 98568662393. The next prime is 98568662417. The reversal of 98568662400 is 426686589.

It is a happy number.

98568662400 is a `hidden beast` number, since 9 + 8 + 5 + 6 + 8 + 6 + 624 + 0 + 0 = 666.

It is a super-3 number, since 3×98568662400³ (a number of 34 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 142646055 + ... + 142646745.

It is an arithmetic number, because the mean of its divisors is an integer number (510557600).

Almost surely, 2^98568662400 is an apocalyptic number.

98568662400 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 98568662400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196054118400).

98568662400 is an abundant number, since it is smaller than the sum of its proper divisors (293539574400).

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

98568662400 is a wasteful number, since it uses less digits than its factorization.

98568662400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 864 (or 841 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 98568662400 in words is "ninety-eight billion, five hundred sixty-eight million, six hundred sixty-two thousand, four hundred".