1098333250560 has 2112 divisors, whose sum is σ = 4957054502400. Its totient is φ = 227030335488.

The previous prime is 1098333250541. The next prime is 1098333250577. The reversal of 1098333250560 is 650523338901.

It is a happy number.

1098333250560 is a `hidden beast` number, since 1 + 0 + 9 + 8 + 3 + 3 + 32 + 50 + 560 = 666.

1098333250560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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, 10076451786 + ... + 10076451894.

It is an arithmetic number, because the mean of its divisors is an integer number (2347090200).

Almost surely, 2^{1098333250560} is an apocalyptic number.

1098333250560 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 1098333250560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2478527251200).

1098333250560 is an abundant number, since it is smaller than the sum of its proper divisors (3858721251840).

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

1098333250560 is a wasteful number, since it uses less digits than its factorization.

1098333250560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 1098333250560 in words is "one trillion, ninety-eight billion, three hundred thirty-three million, two hundred fifty thousand, five hundred sixty".