11771143759760 has 320 divisors, whose sum is σ = 35654380830720. Its totient is φ = 3504498032640.

The previous prime is 11771143759747. The next prime is 11771143759807. The reversal of 11771143759760 is 6795734117711.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 11771143759760.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 101810144 + ... + 101925696.

It is an arithmetic number, because the mean of its divisors is an integer number (111419940096).

Almost surely, 2^{11771143759760} is an apocalyptic number.

11771143759760 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 11771143759760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17827190415360).

11771143759760 is an abundant number, since it is smaller than the sum of its proper divisors (23883237070960).

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

11771143759760 is a wasteful number, since it uses less digits than its factorization.

11771143759760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116326 (or 116320 counting only the distinct ones).

The product of its (nonzero) digits is 7779240, while the sum is 59.

The spelling of 11771143759760 in words is "eleven trillion, seven hundred seventy-one billion, one hundred forty-three million, seven hundred fifty-nine thousand, seven hundred sixty".