11981764728000 has 448 divisors, whose sum is σ = 43974166803840. Its totient is φ = 3194090496000.

The previous prime is 11981764727993. The next prime is 11981764728013. The reversal of 11981764728000 is 82746718911.

11981764728000 is a `hidden beast` number, since 1 + 1 + 98 + 1 + 7 + 6 + 472 + 80 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 838288854 + ... + 838303146.

It is an arithmetic number, because the mean of its divisors is an integer number (98156622330).

Almost surely, 2^{11981764728000} is an apocalyptic number.

11981764728000 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 11981764728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21987083401920).

11981764728000 is an abundant number, since it is smaller than the sum of its proper divisors (31992402075840).

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

11981764728000 is a wasteful number, since it uses less digits than its factorization.

11981764728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18210 (or 18184 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 54.

The spelling of 11981764728000 in words is "eleven trillion, nine hundred eighty-one billion, seven hundred sixty-four million, seven hundred twenty-eight thousand".