11672594784000 has 432 divisors, whose sum is σ = 42017779387584. Its totient is φ = 3111478272000.

The previous prime is 11672594783963. The next prime is 11672594784023. The reversal of 11672594784000 is 48749527611.

11672594784000 is a `hidden beast` number, since 1 + 1 + 6 + 7 + 2 + 594 + 7 + 8 + 40 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 927641709 + ... + 927654291.

It is an arithmetic number, because the mean of its divisors is an integer number (97263378212).

Almost surely, 2^{11672594784000} is an apocalyptic number.

11672594784000 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 11672594784000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21008889693792).

11672594784000 is an abundant number, since it is smaller than the sum of its proper divisors (30345184603584).

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

11672594784000 is a wasteful number, since it uses less digits than its factorization.

11672594784000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15841 (or 15814 counting only the distinct ones).

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

The spelling of 11672594784000 in words is "eleven trillion, six hundred seventy-two billion, five hundred ninety-four million, seven hundred eighty-four thousand".