10665386000640 has 1152 divisors, whose sum is σ = 43889029632000. Its totient is φ = 2402212184064.

The previous prime is 10665386000593. The next prime is 10665386000657. The reversal of 10665386000640 is 4600068356601.

10665386000640 is a `hidden beast` number, since 1 + 0 + 6 + 6 + 5 + 38 + 600 + 0 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-3 number, since 3×10665386000640³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8160202867 + ... + 8160204173.

It is an arithmetic number, because the mean of its divisors is an integer number (38098116000).

Almost surely, 2^{10665386000640} is an apocalyptic number.

10665386000640 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 10665386000640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21944514816000).

10665386000640 is an abundant number, since it is smaller than the sum of its proper divisors (33223643631360).

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

10665386000640 is a wasteful number, since it uses less digits than its factorization.

10665386000640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1812 (or 1792 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 10665386000640 in words is "ten trillion, six hundred sixty-five billion, three hundred eighty-six million, six hundred forty", and thus it is an aban number.