205963491951360 has 1152 divisors, whose sum is σ = 859142059776000. Its totient is φ = 46063930245120.

The previous prime is 205963491951253. The next prime is 205963491951361. The reversal of 205963491951360 is 63159194369502.

205963491951360 is a `hidden beast` number, since 2 + 0 + 5 + 9 + 6 + 3 + 49 + 19 + 513 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is not an unprimeable number, because it can be changed into a prime (205963491951361) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9632103229 + ... + 9632124611.

It is an arithmetic number, because the mean of its divisors is an integer number (745783038000).

Almost surely, 2^{205963491951360} is an apocalyptic number.

205963491951360 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 205963491951360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429571029888000).

205963491951360 is an abundant number, since it is smaller than the sum of its proper divisors (653178567824640).

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

205963491951360 is a wasteful number, since it uses less digits than its factorization.

205963491951360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23386 (or 23366 counting only the distinct ones).

The product of its (nonzero) digits is 47239200, while the sum is 63.

The spelling of 205963491951360 in words is "two hundred five trillion, nine hundred sixty-three billion, four hundred ninety-one million, nine hundred fifty-one thousand, three hundred sixty".