1098095980800 has 864 divisors, whose sum is σ = 4569325044480. Its totient is φ = 226020556800.

The previous prime is 1098095980727. The next prime is 1098095980801. The reversal of 1098095980800 is 80895908901.

It is a super-2 number, since 2×1098095980800² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1098095980801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 71627536 + ... + 71642864.

Almost surely, 2^{1098095980800} is an apocalyptic number.

1098095980800 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 1098095980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2284662522240).

1098095980800 is an abundant number, since it is smaller than the sum of its proper divisors (3471229063680).

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

1098095980800 is a wasteful number, since it uses less digits than its factorization.

1098095980800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15419 (or 15400 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 57.

The spelling of 1098095980800 in words is "one trillion, ninety-eight billion, ninety-five million, nine hundred eighty thousand, eight hundred".