10665915668640 has 288 divisors, whose sum is σ = 38317006990080. Its totient is φ = 2694271776768.

The previous prime is 10665915668567. The next prime is 10665915668647. The reversal of 10665915668640 is 4686651956601.

10665915668640 is a `hidden beast` number, since 1 + 0 + 6 + 6 + 5 + 9 + 1 + 566 + 8 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×10665915668640² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10665915668647) 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, 473125209 + ... + 473147751.

It is an arithmetic number, because the mean of its divisors is an integer number (133045163160).

Almost surely, 2^{10665915668640} is an apocalyptic number.

10665915668640 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 10665915668640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19158503495040).

10665915668640 is an abundant number, since it is smaller than the sum of its proper divisors (27651091321440).

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

10665915668640 is a wasteful number, since it uses less digits than its factorization.

10665915668640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39876 (or 39865 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 63.

The spelling of 10665915668640 in words is "ten trillion, six hundred sixty-five billion, nine hundred fifteen million, six hundred sixty-eight thousand, six hundred forty".