98543532578400 has 864 divisors, whose sum is σ = 436407215025600. Its totient is φ = 20791595704320.

The previous prime is 98543532578389. The next prime is 98543532578431. The reversal of 98543532578400 is 487523534589.

98543532578400 is a `hidden beast` number, since 9 + 8 + 5 + 4 + 3 + 53 + 2 + 578 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 30570084 + ... + 33639516.

Almost surely, 2^{98543532578400} is an apocalyptic number.

98543532578400 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 98543532578400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218203607512800).

98543532578400 is an abundant number, since it is smaller than the sum of its proper divisors (337863682447200).

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

98543532578400 is a wasteful number, since it uses less digits than its factorization.

98543532578400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3069493 (or 3069463 counting only the distinct ones).

The product of its (nonzero) digits is 145152000, while the sum is 63.

The spelling of 98543532578400 in words is "ninety-eight trillion, five hundred forty-three billion, five hundred thirty-two million, five hundred seventy-eight thousand, four hundred".