11683657728000 has 1440 divisors, whose sum is σ = 46285313675328. Its totient is φ = 2930245632000.

The previous prime is 11683657727927. The next prime is 11683657728011. The reversal of 11683657728000 is 82775638611.

It is a happy number.

11683657728000 is a `hidden beast` number, since 1 + 1 + 68 + 3 + 6 + 577 + 2 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 95 ways as a sum of consecutive naturals, for example, 8460287310 + ... + 8460288690.

Almost surely, 2^{11683657728000} is an apocalyptic number.

11683657728000 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 11683657728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23142656837664).

11683657728000 is an abundant number, since it is smaller than the sum of its proper divisors (34601655947328).

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

11683657728000 is an frugal number, since it uses more digits than its factorization.

11683657728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1456 (or 1408 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 11683657728000 in words is "eleven trillion, six hundred eighty-three billion, six hundred fifty-seven million, seven hundred twenty-eight thousand".