10166964917760 has 480 divisors, whose sum is σ = 40251423244032. Its totient is φ = 2323287982080.

The previous prime is 10166964917587. The next prime is 10166964917761. The reversal of 10166964917760 is 6771946966101.

10166964917760 is a `hidden beast` number, since 1 + 0 + 16 + 6 + 9 + 6 + 491 + 77 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10166964917761) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1133310075 + ... + 1133319045.

Almost surely, 2^{10166964917760} is an apocalyptic number.

10166964917760 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 10166964917760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20125711622016).

10166964917760 is an abundant number, since it is smaller than the sum of its proper divisors (30084458326272).

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

10166964917760 is an equidigital number, since it uses as much as digits as its factorization.

10166964917760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16034 (or 16015 counting only the distinct ones).

The product of its (nonzero) digits is 20575296, while the sum is 63.

The spelling of 10166964917760 in words is "ten trillion, one hundred sixty-six billion, nine hundred sixty-four million, nine hundred seventeen thousand, seven hundred sixty".