1098738892800 has 612 divisors, whose sum is σ = 3964790271780. Its totient is φ = 290854010880.

The previous prime is 1098738892753. The next prime is 1098738892819. The reversal of 1098738892800 is 82988378901.

1098738892800 is a `hidden beast` number, since 1 + 0 + 98 + 7 + 388 + 92 + 80 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 333547831296 + 765191061504 = 577536^2 + 874752^2 .

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 35 ways as a sum of consecutive naturals, for example, 3966566262 + ... + 3966566538.

Almost surely, 2^{1098738892800} is an apocalyptic number.

1098738892800 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 1098738892800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1982395135890).

1098738892800 is an abundant number, since it is smaller than the sum of its proper divisors (2866051378980).

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

1098738892800 is an equidigital number, since it uses as much as digits as its factorization.

1098738892800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 63.

The spelling of 1098738892800 in words is "one trillion, ninety-eight billion, seven hundred thirty-eight million, eight hundred ninety-two thousand, eight hundred".