10420106566752 has 72 divisors (see below), whose sum is σ = 31191766383960. Its totient is φ = 3290559966720.

The previous prime is 10420106566729. The next prime is 10420106566769. The reversal of 10420106566752 is 25766560102401.

10420106566752 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 0 + 10 + 6 + 566 + 75 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 10420106566698 and 10420106566707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 952124149 + ... + 952135092.

It is an arithmetic number, because the mean of its divisors is an integer number (433218977555).

Almost surely, 2^{10420106566752} is an apocalyptic number.

10420106566752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10420106566752 is an abundant number, since it is smaller than the sum of its proper divisors (20771659817208).

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

10420106566752 is a wasteful number, since it uses less digits than its factorization.

10420106566752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1904259276 (or 1904259265 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 10420106566752 in words is "ten trillion, four hundred twenty billion, one hundred six million, five hundred sixty-six thousand, seven hundred fifty-two".