205555079506140 has 2304 divisors, whose sum is σ = 872302929039360. Its totient is φ = 39423946752000.

The previous prime is 205555079506129. The next prime is 205555079506169. The reversal of 205555079506140 is 41605970555502.

205555079506140 is a `hidden beast` number, since 2 + 0 + 5 + 5 + 5 + 50 + 79 + 506 + 14 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 21015748050 + ... + 21015757830.

It is an arithmetic number, because the mean of its divisors is an integer number (378603701840).

Almost surely, 2^{205555079506140} is an apocalyptic number.

205555079506140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205555079506140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436151464519680).

205555079506140 is an abundant number, since it is smaller than the sum of its proper divisors (666747849533220).

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

205555079506140 is a wasteful number, since it uses less digits than its factorization.

205555079506140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9946 (or 9932 counting only the distinct ones).

The product of its (nonzero) digits is 9450000, while the sum is 54.

The spelling of 205555079506140 in words is "two hundred five trillion, five hundred fifty-five billion, seventy-nine million, five hundred six thousand, one hundred forty".