205153802880 has 512 divisors, whose sum is σ = 739090759680. Its totient is φ = 48025190400.

The previous prime is 205153802839. The next prime is 205153802897. The reversal of 205153802880 is 88208351502.

It is a super-2 number, since 2×205153802880² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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, 109648345 + ... + 109650215.

It is an arithmetic number, because the mean of its divisors is an integer number (1443536640).

Almost surely, 2^205153802880 is an apocalyptic number.

205153802880 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 205153802880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369545379840).

205153802880 is an abundant number, since it is smaller than the sum of its proper divisors (533936956800).

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

205153802880 is a wasteful number, since it uses less digits than its factorization.

205153802880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2120 (or 2108 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 42.

The spelling of 205153802880 in words is "two hundred five billion, one hundred fifty-three million, eight hundred two thousand, eight hundred eighty".