11048832873160 has 256 divisors, whose sum is σ = 28536162624000. Its totient is φ = 3823393259520.

The previous prime is 11048832873097. The next prime is 11048832873161. The reversal of 11048832873160 is 6137823884011.

It is a junction number, because it is equal to n+sod(n) for n = 11048832873098 and 11048832873107.

It is not an unprimeable number, because it can be changed into a prime (11048832873161) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 171584170 + ... + 171648550.

It is an arithmetic number, because the mean of its divisors is an integer number (111469385250).

Almost surely, 2^{11048832873160} is an apocalyptic number.

11048832873160 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 11048832873160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14268081312000).

11048832873160 is an abundant number, since it is smaller than the sum of its proper divisors (17487329750840).

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

11048832873160 is a wasteful number, since it uses less digits than its factorization.

11048832873160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64824 (or 64820 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 52.

The spelling of 11048832873160 in words is "eleven trillion, forty-eight billion, eight hundred thirty-two million, eight hundred seventy-three thousand, one hundred sixty".