98747812800 has 1008 divisors, whose sum is σ = 448126095872. Its totient is φ = 20827238400.

The previous prime is 98747812789. The next prime is 98747812819. The reversal of 98747812800 is 821874789.

It is a happy number.

98747812800 is a `hidden beast` number, since 9 + 87 + 478 + 12 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×98747812800² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 35379405 + ... + 35382195.

Almost surely, 2^98747812800 is an apocalyptic number.

98747812800 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 98747812800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224063047936).

98747812800 is an abundant number, since it is smaller than the sum of its proper divisors (349378283072).

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

98747812800 is a wasteful number, since it uses less digits than its factorization.

98747812800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2848 (or 2821 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 54.

The spelling of 98747812800 in words is "ninety-eight billion, seven hundred forty-seven million, eight hundred twelve thousand, eight hundred".