11989598760000 has 945 divisors, whose sum is σ = 44700280254201. Its totient is φ = 3071464704000.

The previous prime is 11989598759989. The next prime is 11989598760019. The reversal of 11989598760000 is 6789598911.

The square root of 11989598760000 is 3462600.

It is a perfect power (a square), and thus also a powerful number.

11989598760000 is a `hidden beast` number, since 1 + 19 + 8 + 9 + 5 + 9 + 8 + 7 + 600 + 0 + 0 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 8967341680704 + 3022257079296 = 2994552^2 + 1738464^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 11989598760000.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 60249239901 + ... + 60249240099.

Almost surely, 2^{11989598760000} is an apocalyptic number.

11989598760000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11989598760000 is the 3462600-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11989598760000

11989598760000 is an abundant number, since it is smaller than the sum of its proper divisors (32710681494201).

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

11989598760000 is an frugal number, since it uses more digits than its factorization.

11989598760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 63.

The spelling of 11989598760000 in words is "eleven trillion, nine hundred eighty-nine billion, five hundred ninety-eight million, seven hundred sixty thousand".