11098485932688 has 2880 divisors, whose sum is σ = 44990640414720. Its totient is φ = 2611690905600.

The previous prime is 11098485932683. The next prime is 11098485932741. The reversal of 11098485932688 is 88623958489011.

11098485932688 is a `hidden beast` number, since 1 + 1 + 0 + 9 + 8 + 4 + 8 + 593 + 26 + 8 + 8 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (11098485932683) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 81010846156 + ... + 81010846292.

It is an arithmetic number, because the mean of its divisors is an integer number (15621750144).

Almost surely, 2^{11098485932688} is an apocalyptic number.

11098485932688 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 11098485932688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22495320207360).

11098485932688 is an abundant number, since it is smaller than the sum of its proper divisors (33892154482032).

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

11098485932688 is a wasteful number, since it uses less digits than its factorization.

11098485932688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 238878720, while the sum is 72.

The spelling of 11098485932688 in words is "eleven trillion, ninety-eight billion, four hundred eighty-five million, nine hundred thirty-two thousand, six hundred eighty-eight".