10006011379983 has 32 divisors (see below), whose sum is σ = 13441586558400. Its totient is φ = 6620733987840.

The previous prime is 10006011379879. The next prime is 10006011379999. The reversal of 10006011379983 is 38997311060001.

It is a Cunningham number, because it is equal to 3163228²-1.

It is not a de Polignac number, because 10006011379983 - 2¹² = 10006011375887 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10006011377983) by changing a digit.

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, 623147691 + ... + 623163747.

It is an arithmetic number, because the mean of its divisors is an integer number (420049579950).

Almost surely, 2^{10006011379983} is an apocalyptic number.

10006011379983 is a deficient number, since it is larger than the sum of its proper divisors (3435575178417).

10006011379983 is a wasteful number, since it uses less digits than its factorization.

10006011379983 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18747.

The product of its (nonzero) digits is 244944, while the sum is 48.

The spelling of 10006011379983 in words is "ten trillion, six billion, eleven million, three hundred seventy-nine thousand, nine hundred eighty-three".