98247628800 has 432 divisors, whose sum is σ = 355510995840. Its totient is φ = 25927680000.

The previous prime is 98247628783. The next prime is 98247628823. The reversal of 98247628800 is 882674289.

98247628800 is a `hidden beast` number, since 9 + 8 + 2 + 4 + 7 + 628 + 8 + 0 + 0 = 666.

It is a congruent number.

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, 46539745 + ... + 46541855.

It is an arithmetic number, because the mean of its divisors is an integer number (822942120).

Almost surely, 2^98247628800 is an apocalyptic number.

98247628800 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 98247628800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177755497920).

98247628800 is an abundant number, since it is smaller than the sum of its proper divisors (257263367040).

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

98247628800 is a wasteful number, since it uses less digits than its factorization.

98247628800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2250 (or 2222 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 98247628800 in words is "ninety-eight billion, two hundred forty-seven million, six hundred twenty-eight thousand, eight hundred".