205927857428040 has 1536 divisors, whose sum is σ = 812651688576000. Its totient is φ = 46182493716480.

The previous prime is 205927857428009. The next prime is 205927857428063. The reversal of 205927857428040 is 40824758729502.

205927857428040 is a `hidden beast` number, since 2 + 0 + 5 + 92 + 7 + 85 + 7 + 428 + 0 + 40 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 31348429876 + ... + 31348436444.

It is an arithmetic number, because the mean of its divisors is an integer number (529070109750).

Almost surely, 2^{205927857428040} is an apocalyptic number.

205927857428040 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 205927857428040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406325844288000).

205927857428040 is an abundant number, since it is smaller than the sum of its proper divisors (606723831147960).

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

205927857428040 is a wasteful number, since it uses less digits than its factorization.

205927857428040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6868 (or 6847 counting only the distinct ones).

The product of its (nonzero) digits is 90316800, while the sum is 63.

The spelling of 205927857428040 in words is "two hundred five trillion, nine hundred twenty-seven billion, eight hundred fifty-seven million, four hundred twenty-eight thousand, forty".