205004214300540 has 48 divisors (see below), whose sum is σ = 574317288276480. Its totient is φ = 54638696362560.

The previous prime is 205004214300517. The next prime is 205004214300617. The reversal of 205004214300540 is 45003412400502.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 205004214300498 and 205004214300507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 909077496 + ... + 909302975.

It is an arithmetic number, because the mean of its divisors is an integer number (11964943505760).

Almost surely, 2^{205004214300540} is an apocalyptic number.

205004214300540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205004214300540 is an abundant number, since it is smaller than the sum of its proper divisors (369313073975940).

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

205004214300540 is a wasteful number, since it uses less digits than its factorization.

205004214300540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1818382362 (or 1818382360 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The spelling of 205004214300540 in words is "two hundred five trillion, four billion, two hundred fourteen million, three hundred thousand, five hundred forty".