8420210135505 has 96 divisors (see below), whose sum is σ = 16704399778560. Its totient is φ = 3843619799040.

The previous prime is 8420210135501. The next prime is 8420210135551. The reversal of 8420210135505 is 5055310120248.

8420210135505 is a `hidden beast` number, since 8 + 4 + 2 + 0 + 2 + 10 + 135 + 505 = 666.

It is not a de Polignac number, because 8420210135505 - 2² = 8420210135501 is a prime.

It is a super-2 number, since 2×8420210135505² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 8420210135505.

It is not an unprimeable number, because it can be changed into a prime (8420210135501) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1232282569 + ... + 1232289401.

It is an arithmetic number, because the mean of its divisors is an integer number (174004164360).

Almost surely, 2^{8420210135505} is an apocalyptic number.

It is an amenable number.

8420210135505 is a deficient number, since it is larger than the sum of its proper divisors (8284189643055).

8420210135505 is a wasteful number, since it uses less digits than its factorization.

8420210135505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11991 (or 11988 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 8420210135505 in words is "eight trillion, four hundred twenty billion, two hundred ten million, one hundred thirty-five thousand, five hundred five".