10575643277952 has 512 divisors, whose sum is σ = 31776709536000. Its totient is φ = 3462355943424.

The previous prime is 10575643277951. The next prime is 10575643277959. The reversal of 10575643277952 is 25977234657501.

10575643277952 is a `hidden beast` number, since 1 + 0 + 575 + 6 + 4 + 3 + 2 + 7 + 7 + 9 + 52 = 666.

It is a super-2 number, since 2×10575643277952² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10575643277952.

It is not an unprimeable number, because it can be changed into a prime (10575643277951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25857318324 + ... + 25857318732.

Almost surely, 2^{10575643277952} is an apocalyptic number.

10575643277952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10575643277952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15888354768000).

10575643277952 is an abundant number, since it is smaller than the sum of its proper divisors (21201066258048).

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

10575643277952 is a wasteful number, since it uses less digits than its factorization.

10575643277952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1025 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 111132000, while the sum is 63.

The spelling of 10575643277952 in words is "ten trillion, five hundred seventy-five billion, six hundred forty-three million, two hundred seventy-seven thousand, nine hundred fifty-two".