11707530007680 has 384 divisors, whose sum is σ = 43551791141040. Its totient is φ = 2880899481600.

The previous prime is 11707530007673. The next prime is 11707530007681. The reversal of 11707530007680 is 8670003570711.

It can be written as a sum of positive squares in 8 ways, for example, as 1235885783616 + 10471644224064 = 1111704^2 + 3235992^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (11707530007681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 241164210 + ... + 241212750.

Almost surely, 2^{11707530007680} is an apocalyptic number.

11707530007680 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 11707530007680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21775895570520).

11707530007680 is an abundant number, since it is smaller than the sum of its proper divisors (31844261133360).

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

11707530007680 is a wasteful number, since it uses less digits than its factorization.

11707530007680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51800 (or 51785 counting only the distinct ones).

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

The spelling of 11707530007680 in words is "eleven trillion, seven hundred seven billion, five hundred thirty million, seven thousand, six hundred eighty".