205778901120 has 512 divisors, whose sum is σ = 760920652800. Its totient is φ = 46866677760.

The previous prime is 205778901091. The next prime is 205778901121. The reversal of 205778901120 is 21109877502.

It is a super-2 number, since 2×205778901120² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (205778901121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20387275 + ... + 20397365.

It is an arithmetic number, because the mean of its divisors is an integer number (1486173150).

Almost surely, 2^205778901120 is an apocalyptic number.

205778901120 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 205778901120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380460326400).

205778901120 is an abundant number, since it is smaller than the sum of its proper divisors (555141751680).

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

205778901120 is a wasteful number, since it uses less digits than its factorization.

205778901120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10188 (or 10176 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 42.

The spelling of 205778901120 in words is "two hundred five billion, seven hundred seventy-eight million, nine hundred one thousand, one hundred twenty".