83405566107 has 80 divisors (see below), whose sum is σ = 133364689920. Its totient is φ = 51763525632.

The previous prime is 83405566091. The next prime is 83405566121. The reversal of 83405566107 is 70166550438.

83405566107 is a `hidden beast` number, since 8 + 34 + 0 + 556 + 61 + 0 + 7 = 666.

It is not a de Polignac number, because 83405566107 - 2⁴ = 83405566091 is a prime.

It is not an unprimeable number, because it can be changed into a prime (83405566507) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 89012943 + ... + 89013879.

It is an arithmetic number, because the mean of its divisors is an integer number (1667058624).

Almost surely, 2^83405566107 is an apocalyptic number.

83405566107 is a deficient number, since it is larger than the sum of its proper divisors (49959123813).

83405566107 is a wasteful number, since it uses less digits than its factorization.

83405566107 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1602 (or 1593 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 83405566107 in words is "eighty-three billion, four hundred five million, five hundred sixty-six thousand, one hundred seven".