98316820800 has 1008 divisors, whose sum is σ = 417882628800. Its totient is φ = 21641625600.

The previous prime is 98316820759. The next prime is 98316820807. The reversal of 98316820800 is 802861389.

98316820800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98316820807) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 78090571 + ... + 78091829.

It is an arithmetic number, because the mean of its divisors is an integer number (414566100).

Almost surely, 2^98316820800 is an apocalyptic number.

98316820800 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 98316820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208941314400).

98316820800 is an abundant number, since it is smaller than the sum of its proper divisors (319565808000).

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

98316820800 is a wasteful number, since it uses less digits than its factorization.

98316820800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1344 (or 1326 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 98316820800 in words is "ninety-eight billion, three hundred sixteen million, eight hundred twenty thousand, eight hundred".