1098259259328 has 1680 divisors, whose sum is σ = 4409586466560. Its totient is φ = 266499072000.

The previous prime is 1098259259311. The next prime is 1098259259371. The reversal of 1098259259328 is 8239529528901.

1098259259328 is a `hidden beast` number, since 1 + 0 + 9 + 8 + 2 + 59 + 259 + 328 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 7273240053 + ... + 7273240203.

Almost surely, 2^{1098259259328} is an apocalyptic number.

1098259259328 is a gapful number since it is divisible by the number (18) 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 1098259259328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2204793233280).

1098259259328 is an abundant number, since it is smaller than the sum of its proper divisors (3311327207232).

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

1098259259328 is a wasteful number, since it uses less digits than its factorization.

1098259259328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 27993600, while the sum is 63.

The spelling of 1098259259328 in words is "one trillion, ninety-eight billion, two hundred fifty-nine million, two hundred fifty-nine thousand, three hundred twenty-eight".