6161600005506 has 48 divisors (see below), whose sum is σ = 14615244090720. Its totient is φ = 1860553791360.

The previous prime is 6161600005411. The next prime is 6161600005507. The reversal of 6161600005506 is 6055000061616.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (6161600005507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54924871 + ... + 55036938.

It is an arithmetic number, because the mean of its divisors is an integer number (304484251890).

Almost surely, 2^{6161600005506} is an apocalyptic number.

6161600005506 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

6161600005506 is an abundant number, since it is smaller than the sum of its proper divisors (8453644085214).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6161600005506 is a wasteful number, since it uses less digits than its factorization.

6161600005506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109962111 (or 109962108 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 6161600005506 in words is "six trillion, one hundred sixty-one billion, six hundred million, five thousand, five hundred six".