11707038604800 has 2160 divisors, whose sum is σ = 55144098801792. Its totient is φ = 2432283033600.

The previous prime is 11707038604771. The next prime is 11707038604819. The reversal of 11707038604800 is 840683070711.

11707038604800 is a `hidden beast` number, since 1 + 1 + 7 + 0 + 7 + 0 + 38 + 604 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1676502109 + ... + 1676509091.

Almost surely, 2^{11707038604800} is an apocalyptic number.

11707038604800 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 11707038604800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27572049400896).

11707038604800 is an abundant number, since it is smaller than the sum of its proper divisors (43437060196992).

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

11707038604800 is an equidigital number, since it uses as much as digits as its factorization.

11707038604800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7051 (or 7011 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 11707038604800 in words is "eleven trillion, seven hundred seven billion, thirty-eight million, six hundred four thousand, eight hundred".