1098536588800 has 480 divisors, whose sum is σ = 3300668743680. Its totient is φ = 353938636800.

The previous prime is 1098536588777. The next prime is 1098536588801. The reversal of 1098536588800 is 88856358901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1098536588801) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 216202260 + ... + 216207340.

It is an arithmetic number, because the mean of its divisors is an integer number (6876393216).

Almost surely, 2^{1098536588800} is an apocalyptic number.

1098536588800 is a gapful number since it is divisible by the number (10) 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 1098536588800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1650334371840).

1098536588800 is an abundant number, since it is smaller than the sum of its proper divisors (2202132154880).

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

1098536588800 is a wasteful number, since it uses less digits than its factorization.

1098536588800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5262 (or 5241 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 61.

The spelling of 1098536588800 in words is "one trillion, ninety-eight billion, five hundred thirty-six million, five hundred eighty-eight thousand, eight hundred".