205338158838880 has 192 divisors, whose sum is σ = 491670077552640. Its totient is φ = 81034282745856.

The previous prime is 205338158838851. The next prime is 205338158838959. The reversal of 205338158838880 is 88838851833502.

It is a super-2 number, since 2×205338158838880² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2052941511 + ... + 2053041529.

It is an arithmetic number, because the mean of its divisors is an integer number (2560781653920).

Almost surely, 2^{205338158838880} is an apocalyptic number.

205338158838880 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 205338158838880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245835038776320).

205338158838880 is an abundant number, since it is smaller than the sum of its proper divisors (286331918713760).

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

205338158838880 is a wasteful number, since it uses less digits than its factorization.

205338158838880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100773 (or 100765 counting only the distinct ones).

The product of its (nonzero) digits is 353894400, while the sum is 70.

The spelling of 205338158838880 in words is "two hundred five trillion, three hundred thirty-eight billion, one hundred fifty-eight million, eight hundred thirty-eight thousand, eight hundred eighty".