11528594820 has 144 divisors (see below), whose sum is σ = 35546434560. Its totient is φ = 3023923968.

The previous prime is 11528594807. The next prime is 11528594873. The reversal of 11528594820 is 2849582511.

11528594820 is a `hidden beast` number, since 1 + 1 + 52 + 8 + 594 + 8 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4165077 + ... + 4167843.

It is an arithmetic number, because the mean of its divisors is an integer number (246850240).

Almost surely, 2^11528594820 is an apocalyptic number.

11528594820 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 11528594820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17773217280).

11528594820 is an abundant number, since it is smaller than the sum of its proper divisors (24017839740).

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

11528594820 is a wasteful number, since it uses less digits than its factorization.

11528594820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3154 (or 3149 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 11528594820 in words is "eleven billion, five hundred twenty-eight million, five hundred ninety-four thousand, eight hundred twenty".