10201327557664 has 24 divisors (see below), whose sum is σ = 20957075092800. Its totient is φ = 4878895788096.

The previous prime is 10201327557653. The next prime is 10201327557769. The reversal of 10201327557664 is 46675572310201.

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 3 ways as a sum of consecutive naturals, for example, 6930248964 + ... + 6930250435.

It is an arithmetic number, because the mean of its divisors is an integer number (873211462200).

Almost surely, 2^{10201327557664} is an apocalyptic number.

It is an amenable number.

10201327557664 is an abundant number, since it is smaller than the sum of its proper divisors (10755747535136).

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

10201327557664 is a wasteful number, since it uses less digits than its factorization.

10201327557664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13860499432 (or 13860499424 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 49.

Adding to 10201327557664 its reverse (46675572310201), we get a palindrome (56876899867865).

The spelling of 10201327557664 in words is "ten trillion, two hundred one billion, three hundred twenty-seven million, five hundred fifty-seven thousand, six hundred sixty-four".