11575001088 has 480 divisors, whose sum is σ = 40679540550. Its totient is φ = 3269984256.

The previous prime is 11575001063. The next prime is 11575001131. The reversal of 11575001088 is 88010057511.

It is a happy number.

11575001088 is a `hidden beast` number, since 1 + 1 + 575 + 0 + 0 + 1 + 0 + 88 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10989748224 + 585252864 = 104832^2 + 24192^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 130056148 + ... + 130056236.

Almost surely, 2^11575001088 is an apocalyptic number.

11575001088 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 11575001088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20339770275).

11575001088 is an abundant number, since it is smaller than the sum of its proper divisors (29104539462).

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

11575001088 is an frugal number, since it uses more digits than its factorization.

11575001088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 36.

Adding to 11575001088 its reverse (88010057511), we get a palindrome (99585058599).

The spelling of 11575001088 in words is "eleven billion, five hundred seventy-five million, one thousand, eighty-eight".