11680000723600 has 180 divisors, whose sum is σ = 30849436481920. Its totient is φ = 4246542432000.

The previous prime is 11680000723543. The next prime is 11680000723609. The reversal of 11680000723600 is 632700008611.

11680000723600 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-4 number, since 4×11680000723600⁴ (a number of 53 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (11680000723609) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 338347141 + ... + 338381659.

Almost surely, 2^{11680000723600} is an apocalyptic number.

11680000723600 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 11680000723600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15424718240960).

11680000723600 is an abundant number, since it is smaller than the sum of its proper divisors (19169435758320).

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

11680000723600 is a wasteful number, since it uses less digits than its factorization.

11680000723600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41550 (or 41528 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The spelling of 11680000723600 in words is "eleven trillion, six hundred eighty billion, seven hundred twenty-three thousand, six hundred".