10155664806 has 64 divisors (see below), whose sum is σ = 24559096320. Its totient is φ = 2734905600.

The previous prime is 10155664751. The next prime is 10155664823. The reversal of 10155664806 is 60846655101.

10155664806 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 124906 + ... + 189506.

It is an arithmetic number, because the mean of its divisors is an integer number (383735880).

Almost surely, 2^10155664806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10155664806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12279548160).

10155664806 is an abundant number, since it is smaller than the sum of its proper divisors (14403431514).

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

10155664806 is a wasteful number, since it uses less digits than its factorization.

10155664806 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64829.

The product of its (nonzero) digits is 172800, while the sum is 42.

The spelling of 10155664806 in words is "ten billion, one hundred fifty-five million, six hundred sixty-four thousand, eight hundred six".