10211255643456 has 168 divisors, whose sum is σ = 34904313085824. Its totient is φ = 2790653690880.

The previous prime is 10211255643451. The next prime is 10211255643467. The reversal of 10211255643456 is 65434655211201.

10211255643456 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 1 + 2 + 5 + 564 + 34 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10211255643451) 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, 54962775 + ... + 55148246.

It is an arithmetic number, because the mean of its divisors is an integer number (207763768368).

Almost surely, 2^{10211255643456} is an apocalyptic number.

10211255643456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10211255643456 is an abundant number, since it is smaller than the sum of its proper divisors (24693057442368).

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

10211255643456 is a wasteful number, since it uses less digits than its factorization.

10211255643456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110111069 (or 110111056 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 10211255643456 in words is "ten trillion, two hundred eleven billion, two hundred fifty-five million, six hundred forty-three thousand, four hundred fifty-six".