10327665507840 has 160 divisors (see below), whose sum is σ = 36684728768160. Its totient is φ = 2754044116992.

The previous prime is 10327665507787. The next prime is 10327665507847. The reversal of 10327665507840 is 4870556672301.

10327665507840 is a `hidden beast` number, since 1 + 0 + 3 + 2 + 7 + 6 + 6 + 550 + 7 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10327665507847) 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 15 ways as a sum of consecutive naturals, for example, 74639109 + ... + 74777348.

It is an arithmetic number, because the mean of its divisors is an integer number (229279554801).

Almost surely, 2^{10327665507840} is an apocalyptic number.

10327665507840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10327665507840 is an abundant number, since it is smaller than the sum of its proper divisors (26357063260320).

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

10327665507840 is an equidigital number, since it uses as much as digits as its factorization.

10327665507840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149416489 (or 149416467 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 10327665507840 in words is "ten trillion, three hundred twenty-seven billion, six hundred sixty-five million, five hundred seven thousand, eight hundred forty".