11753723300 has 72 divisors (see below), whose sum is σ = 27871257792. Its totient is φ = 4266864000.

The previous prime is 11753723273. The next prime is 11753723341. The reversal of 11753723300 is 332735711.

11753723300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11753723300² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 665585 + ... + 683015.

Almost surely, 2^11753723300 is an apocalyptic number.

11753723300 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 11753723300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13935628896).

11753723300 is an abundant number, since it is smaller than the sum of its proper divisors (16117534492).

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

11753723300 is a wasteful number, since it uses less digits than its factorization.

11753723300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18069 (or 18062 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 32.

The spelling of 11753723300 in words is "eleven billion, seven hundred fifty-three million, seven hundred twenty-three thousand, three hundred".