11733728160 has 1152 divisors, whose sum is σ = 51480576000. Its totient is φ = 2235340800.

The previous prime is 11733728101. The next prime is 11733728161. The reversal of 11733728160 is 6182733711.

It is a super-3 number, since 3×11733728160³ (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (11733728161) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 378507345 + ... + 378507375.

It is an arithmetic number, because the mean of its divisors is an integer number (44688000).

Almost surely, 2^11733728160 is an apocalyptic number.

11733728160 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 11733728160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25740288000).

11733728160 is an abundant number, since it is smaller than the sum of its proper divisors (39746847840).

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

11733728160 is a wasteful number, since it uses less digits than its factorization.

11733728160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The spelling of 11733728160 in words is "eleven billion, seven hundred thirty-three million, seven hundred twenty-eight thousand, one hundred sixty".