10098018000000 has 1512 divisors, whose sum is σ = 42650878573485. Its totient is φ = 2286547200000.

The previous prime is 10098017999983. The next prime is 10098018000013. The reversal of 10098018000000 is 81089001.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 4 ways, for example, as 1721994813504 + 8376023186496 = 1312248^2 + 2894136^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=2247000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 94373999947 + ... + 94374000053.

Almost surely, 2^{10098018000000} is an apocalyptic number.

10098018000000 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 10098018000000

10098018000000 is an abundant number, since it is smaller than the sum of its proper divisors (32552860573485).

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

10098018000000 is an frugal number, since it uses more digits than its factorization.

10098018000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

Adding to 10098018000000 its reverse (81089001), we get a palindrome (10098099089001).

The spelling of 10098018000000 in words is "ten trillion, ninety-eight billion, eighteen million", and thus it is an aban number and an uban number.