11472952000 has 168 divisors, whose sum is σ = 29712769632. Its totient is φ = 4388032000.

The previous prime is 11472951947. The next prime is 11472952003. The reversal of 11472952000 is 25927411.

It is not an unprimeable number, because it can be changed into a prime (11472952003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4230645 + ... + 4233355.

It is an arithmetic number, because the mean of its divisors is an integer number (176861724).

Almost surely, 2^11472952000 is an apocalyptic number.

11472952000 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 11472952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14856384816).

11472952000 is an abundant number, since it is smaller than the sum of its proper divisors (18239817632).

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

11472952000 is an equidigital number, since it uses as much as digits as its factorization.

11472952000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2784 (or 2741 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 31.

The spelling of 11472952000 in words is "eleven billion, four hundred seventy-two million, nine hundred fifty-two thousand".