10575600705672 has 32 divisors (see below), whose sum is σ = 26439425892000. Its totient is φ = 3525143684864.

The previous prime is 10575600705667. The next prime is 10575600705673. The reversal of 10575600705672 is 27650700657501.

It is a super-2 number, since 2×10575600705672² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10575600705673) 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 7 ways as a sum of consecutive naturals, for example, 1993422 + ... + 5012477.

It is an arithmetic number, because the mean of its divisors is an integer number (826232059125).

Almost surely, 2^{10575600705672} is an apocalyptic number.

10575600705672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10575600705672 is an abundant number, since it is smaller than the sum of its proper divisors (15863825186328).

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

10575600705672 is a wasteful number, since it uses less digits than its factorization.

10575600705672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7068805 (or 7068801 counting only the distinct ones).

The product of its (nonzero) digits is 3087000, while the sum is 51.

The spelling of 10575600705672 in words is "ten trillion, five hundred seventy-five billion, six hundred million, seven hundred five thousand, six hundred seventy-two".