11700663461760 has 2304 divisors, whose sum is σ = 50508914765760. Its totient is φ = 2287799894016.

The previous prime is 11700663461741. The next prime is 11700663461789. The reversal of 11700663461760 is 6716436600711.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 19731304024 + ... + 19731304616.

Almost surely, 2^{11700663461760} is an apocalyptic number.

11700663461760 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 11700663461760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25254457382880).

11700663461760 is an abundant number, since it is smaller than the sum of its proper divisors (38808251304000).

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

11700663461760 is a wasteful number, since it uses less digits than its factorization.

11700663461760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 48.

The spelling of 11700663461760 in words is "eleven trillion, seven hundred billion, six hundred sixty-three million, four hundred sixty-one thousand, seven hundred sixty".