1098361555200 has 2268 divisors, whose sum is σ = 5069601566400. Its totient is φ = 230577684480.

The previous prime is 1098361555163. The next prime is 1098361555279. The reversal of 1098361555200 is 25551638901.

1098361555200 is a `hidden beast` number, since 1 + 0 + 9 + 8 + 3 + 615 + 5 + 5 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2268).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 5519404701 + ... + 5519404899.

Almost surely, 2^{1098361555200} is an apocalyptic number.

1098361555200 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 1098361555200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2534800783200).

1098361555200 is an abundant number, since it is smaller than the sum of its proper divisors (3971240011200).

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

1098361555200 is an equidigital number, since it uses as much as digits as its factorization.

1098361555200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 45.

It can be divided in two parts, 1098361 and 555200, that added together give a palindrome (1653561).

The spelling of 1098361555200 in words is "one trillion, ninety-eight billion, three hundred sixty-one million, five hundred fifty-five thousand, two hundred".