126005616165501 has 24 divisors (see below), whose sum is σ = 182474753213376. Its totient is φ = 83788487340480.

The previous prime is 126005616165493. The next prime is 126005616165557. The reversal of 126005616165501 is 105561616500621.

126005616165501 is a `hidden beast` number, since 1 + 26 + 0 + 0 + 5 + 6 + 1 + 61 + 65 + 501 = 666.

It is not a de Polignac number, because 126005616165501 - 2³ = 126005616165493 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126005616165601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8210521 + ... + 17872433.

It is an arithmetic number, because the mean of its divisors is an integer number (7603114717224).

Almost surely, 2^{126005616165501} is an apocalyptic number.

It is an amenable number.

126005616165501 is a deficient number, since it is larger than the sum of its proper divisors (56469137047875).

126005616165501 is a wasteful number, since it uses less digits than its factorization.

126005616165501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9665633 (or 9665630 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 45.

The spelling of 126005616165501 in words is "one hundred twenty-six trillion, five billion, six hundred sixteen million, one hundred sixty-five thousand, five hundred one".