11785707360000 has 2700 divisors, whose sum is σ = 52033838972808. Its totient is φ = 2644088832000.

The previous prime is 11785707359963. The next prime is 11785707360019. The reversal of 11785707360000 is 6370758711.

11785707360000 is a `hidden beast` number, since 1 + 1 + 7 + 8 + 570 + 73 + 6 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2700).

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 299 ways as a sum of consecutive naturals, for example, 42547679862 + ... + 42547680138.

Almost surely, 2^{11785707360000} is an apocalyptic number.

11785707360000 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 11785707360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26016919486404).

11785707360000 is an abundant number, since it is smaller than the sum of its proper divisors (40248131612808).

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

11785707360000 is an frugal number, since it uses more digits than its factorization.

11785707360000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 45.

The spelling of 11785707360000 in words is "eleven trillion, seven hundred eighty-five billion, seven hundred seven million, three hundred sixty thousand".