98535668400 has 480 divisors, whose sum is σ = 379241352000. Its totient is φ = 24155504640.

The previous prime is 98535668381. The next prime is 98535668437. The reversal of 98535668400 is 486653589.

It is a happy number.

98535668400 is a `hidden beast` number, since 9 + 8 + 535 + 6 + 68 + 40 + 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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37766296 + ... + 37768904.

It is an arithmetic number, because the mean of its divisors is an integer number (790086150).

Almost surely, 2^98535668400 is an apocalyptic number.

98535668400 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 98535668400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189620676000).

98535668400 is an abundant number, since it is smaller than the sum of its proper divisors (280705683600).

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

98535668400 is a wasteful number, since it uses less digits than its factorization.

98535668400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2918 (or 2901 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 98535668400 in words is "ninety-eight billion, five hundred thirty-five million, six hundred sixty-eight thousand, four hundred".