205072015680 has 896 divisors, whose sum is σ = 858260229120. Its totient is φ = 45685555200.

The previous prime is 205072015591. The next prime is 205072015723. The reversal of 205072015680 is 86510270502.

It is a happy number.

205072015680 is a `hidden beast` number, since 2 + 0 + 507 + 20 + 1 + 56 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 200853570 + ... + 200854590.

It is an arithmetic number, because the mean of its divisors is an integer number (957879720).

Almost surely, 2^205072015680 is an apocalyptic number.

205072015680 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 205072015680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429130114560).

205072015680 is an abundant number, since it is smaller than the sum of its proper divisors (653188213440).

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

205072015680 is an equidigital number, since it uses as much as digits as its factorization.

205072015680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1107 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 205072015680 in words is "two hundred five billion, seventy-two million, fifteen thousand, six hundred eighty".