11529001800 has 144 divisors (see below), whose sum is σ = 38773234500. Its totient is φ = 3070033920.

The previous prime is 11529001793. The next prime is 11529001837. The reversal of 11529001800 is 810092511.

It can be written as a sum of positive squares in 6 ways, for example, as 1547792964 + 9981208836 = 39342^2 + 99906^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1380036 + ... + 1388364.

Almost surely, 2^11529001800 is an apocalyptic number.

11529001800 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 11529001800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19386617250).

11529001800 is an abundant number, since it is smaller than the sum of its proper divisors (27244232700).

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

11529001800 is a wasteful number, since it uses less digits than its factorization.

11529001800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9120 (or 9108 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

The spelling of 11529001800 in words is "eleven billion, five hundred twenty-nine million, one thousand, eight hundred".