98811187200 has 1404 divisors, whose sum is σ = 422577359568. Its totient is φ = 22693478400.

The previous prime is 98811187151. The next prime is 98811187207. The reversal of 98811187200 is 278111889.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (98811187207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 5200588791 + ... + 5200588809.

Almost surely, 2^98811187200 is an apocalyptic number.

98811187200 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 98811187200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211288679784).

98811187200 is an abundant number, since it is smaller than the sum of its proper divisors (323766172368).

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

98811187200 is a wasteful number, since it uses less digits than its factorization.

98811187200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 45.

It can be divided in two parts, 988111 and 87200, that added together give a triangular number (1075311 = T₁₄₆₆).

The spelling of 98811187200 in words is "ninety-eight billion, eight hundred eleven million, one hundred eighty-seven thousand, two hundred".