11575632000 has 256 divisors, whose sum is σ = 38538864000. Its totient is φ = 3073536000.

The previous prime is 11575631989. The next prime is 11575632001. The reversal of 11575632000 is 23657511.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (11575632001) 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 31 ways as a sum of consecutive naturals, for example, 16751655 + ... + 16752345.

Almost surely, 2^11575632000 is an apocalyptic number.

11575632000 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 11575632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19269432000).

11575632000 is an abundant number, since it is smaller than the sum of its proper divisors (26963232000).

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

11575632000 is an equidigital number, since it uses as much as digits as its factorization.

11575632000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1072 (or 1050 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 30.

The spelling of 11575632000 in words is "eleven billion, five hundred seventy-five million, six hundred thirty-two thousand".