10956825055206 has 48 divisors (see below), whose sum is σ = 24619853997648. Its totient is φ = 3652154114400.

The previous prime is 10956825055201. The next prime is 10956825055273. The reversal of 10956825055206 is 60255052865901.

It is a happy number.

10956825055206 is a `hidden beast` number, since 1 + 0 + 9 + 5 + 6 + 82 + 5 + 0 + 552 + 0 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10956825055201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14971536 + ... + 15686316.

It is an arithmetic number, because the mean of its divisors is an integer number (512913624951).

Almost surely, 2^{10956825055206} is an apocalyptic number.

10956825055206 is an abundant number, since it is smaller than the sum of its proper divisors (13663028942442).

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

10956825055206 is an equidigital number, since it uses as much as digits as its factorization.

10956825055206 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746339 (or 746327 counting only the distinct ones).

The product of its (nonzero) digits is 6480000, while the sum is 54.

The spelling of 10956825055206 in words is "ten trillion, nine hundred fifty-six billion, eight hundred twenty-five million, fifty-five thousand, two hundred six".