11756828160000 has 3120 divisors, whose sum is σ = 55443513396480. Its totient is φ = 2390999040000.

The previous prime is 11756828159971. The next prime is 11756828160013. The reversal of 11756828160000 is 6182865711.

11756828160000 is a `hidden beast` number, since 1 + 1 + 7 + 568 + 2 + 81 + 6 + 0 + 0 + 0 + 0 = 666.

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 239 ways as a sum of consecutive naturals, for example, 250145279977 + ... + 250145280023.

Almost surely, 2^{11756828160000} is an apocalyptic number.

11756828160000 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 11756828160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27721756698240).

11756828160000 is an abundant number, since it is smaller than the sum of its proper divisors (43686685236480).

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

11756828160000 is an frugal number, since it uses more digits than its factorization.

11756828160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 11756828160000 in words is "eleven trillion, seven hundred fifty-six billion, eight hundred twenty-eight million, one hundred sixty thousand".