98477109964800 has 1872 divisors, whose sum is σ = 432871325033472. Its totient is φ = 20884960051200.

The previous prime is 98477109964781. The next prime is 98477109964811. The reversal of 98477109964800 is 846990177489.

98477109964800 is a `hidden beast` number, since 9 + 8 + 47 + 7 + 10 + 9 + 96 + 480 + 0 = 666.

It is a super-2 number, since 2×98477109964800² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7786592077 + ... + 7786604723.

It is an arithmetic number, because the mean of its divisors is an integer number (231234682176).

Almost surely, 2^{98477109964800} is an apocalyptic number.

98477109964800 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 98477109964800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216435662516736).

98477109964800 is an abundant number, since it is smaller than the sum of its proper divisors (334394215068672).

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

98477109964800 is a wasteful number, since it uses less digits than its factorization.

98477109964800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12782 (or 12752 counting only the distinct ones).

The product of its (nonzero) digits is 219469824, while the sum is 72.

The spelling of 98477109964800 in words is "ninety-eight trillion, four hundred seventy-seven billion, one hundred nine million, nine hundred sixty-four thousand, eight hundred".