205466126540 has 48 divisors (see below), whose sum is σ = 465266077920. Its totient is φ = 75961797120.

The previous prime is 205466126491. The next prime is 205466126543. The reversal of 205466126540 is 45621664502.

205466126540 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is not an unprimeable number, because it can be changed into a prime (205466126543) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6578327 + ... + 6609486.

It is an arithmetic number, because the mean of its divisors is an integer number (9693043290).

Almost surely, 2^205466126540 is an apocalyptic number.

205466126540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205466126540 is an abundant number, since it is smaller than the sum of its proper divisors (259799951380).

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

205466126540 is a wasteful number, since it uses less digits than its factorization.

205466126540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13187882 (or 13187880 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 41.

The spelling of 205466126540 in words is "two hundred five billion, four hundred sixty-six million, one hundred twenty-six thousand, five hundred forty".