10506011109979 has 24 divisors (see below), whose sum is σ = 13199100284160. Its totient is φ = 8185592498160.

The previous prime is 10506011109973. The next prime is 10506011109989. The reversal of 10506011109979 is 97990111060501.

It is not a de Polignac number, because 10506011109979 - 2²⁵ = 10505977555547 is a prime.

It is a super-2 number, since 2×10506011109979² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10506011109973) 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, 6988362 + ... + 8357584.

It is an arithmetic number, because the mean of its divisors is an integer number (549962511840).

Almost surely, 2^{10506011109979} is an apocalyptic number.

10506011109979 is a deficient number, since it is larger than the sum of its proper divisors (2693089174181).

10506011109979 is a wasteful number, since it uses less digits than its factorization.

10506011109979 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1378311 (or 1378300 counting only the distinct ones).

The product of its (nonzero) digits is 153090, while the sum is 49.

The spelling of 10506011109979 in words is "ten trillion, five hundred six billion, eleven million, one hundred nine thousand, nine hundred seventy-nine".