11728101600 has 216 divisors, whose sum is σ = 41539653792. Its totient is φ = 3113625600.

The previous prime is 11728101589. The next prime is 11728101617. The reversal of 11728101600 is 610182711.

It is a super-3 number, since 3×11728101600³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1674105 + ... + 1681095.

It is an arithmetic number, because the mean of its divisors is an integer number (192313212).

Almost surely, 2^11728101600 is an apocalyptic number.

11728101600 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 11728101600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20769826896).

11728101600 is an abundant number, since it is smaller than the sum of its proper divisors (29811552192).

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

11728101600 is a wasteful number, since it uses less digits than its factorization.

11728101600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7250 (or 7234 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 27.

The spelling of 11728101600 in words is "eleven billion, seven hundred twenty-eight million, one hundred one thousand, six hundred".