1098517272000 has 448 divisors, whose sum is σ = 3746693283840. Its totient is φ = 283387392000.

The previous prime is 1098517271987. The next prime is 1098517272007. The reversal of 1098517272000 is 2727158901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1098517272007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 158948545 + ... + 158955455.

Almost surely, 2^{1098517272000} is an apocalyptic number.

1098517272000 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 1098517272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1873346641920).

1098517272000 is an abundant number, since it is smaller than the sum of its proper divisors (2648176011840).

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

1098517272000 is a wasteful number, since it uses less digits than its factorization.

1098517272000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7157 (or 7137 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 42.

The spelling of 1098517272000 in words is "one trillion, ninety-eight billion, five hundred seventeen million, two hundred seventy-two thousand".