205098820380 has 288 divisors, whose sum is σ = 653376761856. Its totient is φ = 52012800000.

The previous prime is 205098820379. The next prime is 205098820397. The reversal of 205098820380 is 83028890502.

It is a super-2 number, since 2×205098820380² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 158867535 + ... + 158868825.

It is an arithmetic number, because the mean of its divisors is an integer number (2268669312).

Almost surely, 2^205098820380 is an apocalyptic number.

205098820380 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 205098820380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326688380928).

205098820380 is an abundant number, since it is smaller than the sum of its proper divisors (448277941476).

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

205098820380 is a wasteful number, since it uses less digits than its factorization.

205098820380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1809 (or 1804 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 205098820380 in words is "two hundred five billion, ninety-eight million, eight hundred twenty thousand, three hundred eighty".