1098080686080 has 2184 divisors, whose sum is σ = 4898951913600. Its totient is φ = 234770006016.

The previous prime is 1098080686069. The next prime is 1098080686139. The reversal of 1098080686080 is 806860808901.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 167 ways as a sum of consecutive naturals, for example, 13899755481 + ... + 13899755559.

Almost surely, 2^{1098080686080} is an apocalyptic number.

1098080686080 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 1098080686080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2449475956800).

1098080686080 is an abundant number, since it is smaller than the sum of its proper divisors (3800871227520).

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

1098080686080 is an frugal number, since it uses more digits than its factorization.

1098080686080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 54.

The spelling of 1098080686080 in words is "one trillion, ninety-eight billion, eighty million, six hundred eighty-six thousand, eighty".