11756046360960 has 1024 divisors, whose sum is σ = 48771233740800. Its totient is φ = 2644475904000.

The previous prime is 11756046360959. The next prime is 11756046360979. The reversal of 11756046360960 is 6906364065711.

It is a happy number.

11756046360960 is a `hidden beast` number, since 1 + 1 + 7 + 5 + 60 + 463 + 60 + 9 + 60 = 666.

It is a super-2 number, since 2×11756046360960² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 11756046360897 and 11756046360906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 229400940 + ... + 229452180.

It is an arithmetic number, because the mean of its divisors is an integer number (47628157950).

Almost surely, 2^{11756046360960} is an apocalyptic number.

11756046360960 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 11756046360960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24385616870400).

11756046360960 is an abundant number, since it is smaller than the sum of its proper divisors (37015187379840).

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

11756046360960 is a wasteful number, since it uses less digits than its factorization.

11756046360960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51368 (or 51350 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 11756046360960 in words is "eleven trillion, seven hundred fifty-six billion, forty-six million, three hundred sixty thousand, nine hundred sixty".