11728945152000 has 1064 divisors, whose sum is σ = 43982402875632. Its totient is φ = 3121348608000.

The previous prime is 11728945151971. The next prime is 11728945152011. The reversal of 11728945152000 is 25154982711.

11728945152000 is a `hidden beast` number, since 1 + 1 + 7 + 2 + 89 + 45 + 1 + 520 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 23887871755 + ... + 23887872245.

Almost surely, 2^{11728945152000} is an apocalyptic number.

11728945152000 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 11728945152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21991201437816).

11728945152000 is an abundant number, since it is smaller than the sum of its proper divisors (32253457723632).

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

11728945152000 is an frugal number, since it uses more digits than its factorization.

11728945152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The spelling of 11728945152000 in words is "eleven trillion, seven hundred twenty-eight billion, nine hundred forty-five million, one hundred fifty-two thousand".