12153673728000 has 1920 divisors, whose sum is σ = 54410877480960. Its totient is φ = 2613156249600.

The previous prime is 12153673727989. The next prime is 12153673728013. The reversal of 12153673728000 is 82737635121.

12153673728000 is a `hidden beast` number, since 1 + 2 + 1 + 5 + 367 + 3 + 7 + 280 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 127 ways as a sum of consecutive naturals, for example, 6580223077 + ... + 6580224923.

It is an arithmetic number, because the mean of its divisors is an integer number (28338998688).

Almost surely, 2^{12153673728000} is an apocalyptic number.

12153673728000 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 12153673728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27205438740480).

12153673728000 is an abundant number, since it is smaller than the sum of its proper divisors (42257203752960).

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

12153673728000 is an equidigital number, since it uses as much as digits as its factorization.

12153673728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1923 (or 1881 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 12153673728000 in words is "twelve trillion, one hundred fifty-three billion, six hundred seventy-three million, seven hundred twenty-eight thousand".