10569779638128 has 60 divisors (see below), whose sum is σ = 30534918967488. Its totient is φ = 3409606333440.

The previous prime is 10569779638127. The next prime is 10569779638147. The reversal of 10569779638128 is 82183697796501.

10569779638128 is a `hidden beast` number, since 1 + 0 + 56 + 97 + 7 + 96 + 381 + 28 = 666.

It is a super-2 number, since 2×10569779638128² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10569779638127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1183886625 + ... + 1183895552.

Almost surely, 2^{10569779638128} is an apocalyptic number.

10569779638128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10569779638128 is an abundant number, since it is smaller than the sum of its proper divisors (19965139329360).

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

10569779638128 is a wasteful number, since it uses less digits than its factorization.

10569779638128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2367782222 (or 2367782213 counting only the distinct ones).

The product of its (nonzero) digits is 274337280, while the sum is 72.

The spelling of 10569779638128 in words is "ten trillion, five hundred sixty-nine billion, seven hundred seventy-nine million, six hundred thirty-eight thousand, one hundred twenty-eight".