1098439317360 has 960 divisors, whose sum is σ = 4885997276160. Its totient is φ = 220348477440.

The previous prime is 1098439317317. The next prime is 1098439317419. The reversal of 1098439317360 is 637139348901.

It is a happy number.

1098439317360 is a `hidden beast` number, since 1 + 0 + 9 + 84 + 393 + 173 + 6 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1098439317297 and 1098439317306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 139871194 + ... + 139879046.

It is an arithmetic number, because the mean of its divisors is an integer number (5089580496).

Almost surely, 2^{1098439317360} is an apocalyptic number.

1098439317360 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 1098439317360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2442998638080).

1098439317360 is an abundant number, since it is smaller than the sum of its proper divisors (3787557958800).

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

1098439317360 is a wasteful number, since it uses less digits than its factorization.

1098439317360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7951 (or 7910 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 1098439317360 in words is "one trillion, ninety-eight billion, four hundred thirty-nine million, three hundred seventeen thousand, three hundred sixty".