11753500800 has 192 divisors, whose sum is σ = 40990903200. Its totient is φ = 2949857280.

The previous prime is 11753500793. The next prime is 11753500841. The reversal of 11753500800 is 800535711.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-4 number, since 4×11753500800⁴ (a number of 41 digits) contains 4444 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127191 + ... + 199209.

Almost surely, 2^11753500800 is an apocalyptic number.

11753500800 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 11753500800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20495451600).

11753500800 is an abundant number, since it is smaller than the sum of its proper divisors (29237402400).

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

11753500800 is a wasteful number, since it uses less digits than its factorization.

11753500800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72063 (or 72046 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 30.

The spelling of 11753500800 in words is "eleven billion, seven hundred fifty-three million, five hundred thousand, eight hundred".