10406375557006 has 64 divisors (see below), whose sum is σ = 18605748107520. Its totient is φ = 4302785975040.

The previous prime is 10406375556961. The next prime is 10406375557013. The reversal of 10406375557006 is 60075557360401.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 24066825 + ... + 24495403.

It is an arithmetic number, because the mean of its divisors is an integer number (290714814180).

Almost surely, 2^{10406375557006} is an apocalyptic number.

10406375557006 is a deficient number, since it is larger than the sum of its proper divisors (8199372550514).

10406375557006 is a wasteful number, since it uses less digits than its factorization.

10406375557006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429841.

The product of its (nonzero) digits is 2646000, while the sum is 49.

The spelling of 10406375557006 in words is "ten trillion, four hundred six billion, three hundred seventy-five million, five hundred fifty-seven thousand, six".