10577625461641 has 16 divisors (see below), whose sum is σ = 12098230144000. Its totient is φ = 9059402093328.

The previous prime is 10577625461609. The next prime is 10577625461653. The reversal of 10577625461641 is 14616452677501.

It is a cyclic number.

It is not a de Polignac number, because 10577625461641 - 2⁵ = 10577625461609 is a prime.

It is a super-2 number, since 2×10577625461641² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10577625464641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52551010 + ... + 52751908.

It is an arithmetic number, because the mean of its divisors is an integer number (756139384000).

Almost surely, 2^{10577625461641} is an apocalyptic number.

It is an amenable number.

10577625461641 is a deficient number, since it is larger than the sum of its proper divisors (1520604682359).

10577625461641 is a wasteful number, since it uses less digits than its factorization.

10577625461641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206788.

The product of its (nonzero) digits is 8467200, while the sum is 55.

The spelling of 10577625461641 in words is "ten trillion, five hundred seventy-seven billion, six hundred twenty-five million, four hundred sixty-one thousand, six hundred forty-one".