11541728000 has 144 divisors (see below), whose sum is σ = 31366651680. Its totient is φ = 4196864000.

The previous prime is 11541727969. The next prime is 11541728021. The reversal of 11541728000 is 82714511.

It is a super-2 number, since 2×11541728000² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 335606 + ... + 368394.

It is an arithmetic number, because the mean of its divisors is an integer number (217823970).

Almost surely, 2^11541728000 is an apocalyptic number.

11541728000 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 11541728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15683325840).

11541728000 is an abundant number, since it is smaller than the sum of its proper divisors (19824923680).

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

11541728000 is an equidigital number, since it uses as much as digits as its factorization.

11541728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32831 (or 32807 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 29.

The spelling of 11541728000 in words is "eleven billion, five hundred forty-one million, seven hundred twenty-eight thousand".