11488293000 has 576 divisors, whose sum is σ = 43064985600. Its totient is φ = 2754259200.

The previous prime is 11488292999. The next prime is 11488293001. The reversal of 11488293000 is 39288411.

It is an interprime number because it is at equal distance from previous prime (11488292999) and next prime (11488293001).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (11488293001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 90458937 + ... + 90459063.

It is an arithmetic number, because the mean of its divisors is an integer number (74765600).

Almost surely, 2^11488293000 is an apocalyptic number.

11488293000 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 11488293000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21532492800).

11488293000 is an abundant number, since it is smaller than the sum of its proper divisors (31576692600).

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

11488293000 is a wasteful number, since it uses less digits than its factorization.

11488293000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 11488293000 in words is "eleven billion, four hundred eighty-eight million, two hundred ninety-three thousand".