10505006049979 has 24 divisors (see below), whose sum is σ = 12289033318320. Its totient is φ = 8953555939776.

The previous prime is 10505006049977. The next prime is 10505006050003. The reversal of 10505006049979 is 97994060050501.

It is not a de Polignac number, because 10505006049979 - 2¹ = 10505006049977 is a prime.

It is a super-2 number, since 2×10505006049979² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10505006049977) 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, 16945417 + ... + 17554405.

It is an arithmetic number, because the mean of its divisors is an integer number (512043054930).

Almost surely, 2^{10505006049979} is an apocalyptic number.

10505006049979 is a deficient number, since it is larger than the sum of its proper divisors (1784027268341).

10505006049979 is a wasteful number, since it uses less digits than its factorization.

10505006049979 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610987 (or 610980 counting only the distinct ones).

The product of its (nonzero) digits is 3061800, while the sum is 55.

The spelling of 10505006049979 in words is "ten trillion, five hundred five billion, six million, forty-nine thousand, nine hundred seventy-nine".