11727789016320 has 1512 divisors, whose sum is σ = 47098233907200. Its totient is φ = 2792551956480.

The previous prime is 11727789016319. The next prime is 11727789016337. The reversal of 11727789016320 is 2361098772711.

11727789016320 is a `hidden beast` number, since 1 + 172 + 77 + 89 + 0 + 1 + 6 + 320 = 666.

It is a super-2 number, since 2×11727789016320² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 4888614481 + ... + 4888616879.

It is an arithmetic number, because the mean of its divisors is an integer number (31149625600).

Almost surely, 2^{11727789016320} is an apocalyptic number.

11727789016320 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 11727789016320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23549116953600).

11727789016320 is an abundant number, since it is smaller than the sum of its proper divisors (35370444890880).

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

11727789016320 is an equidigital number, since it uses as much as digits as its factorization.

11727789016320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2495 (or 2453 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 54.

The spelling of 11727789016320 in words is "eleven trillion, seven hundred twenty-seven billion, seven hundred eighty-nine million, sixteen thousand, three hundred twenty".