205687131360 has 96 divisors (see below), whose sum is σ = 648390500352. Its totient is φ = 54809602560.

The previous prime is 205687131359. The next prime is 205687131389. The reversal of 205687131360 is 63131786502.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 499425 + ... + 812895.

It is an arithmetic number, because the mean of its divisors is an integer number (6754067712).

Almost surely, 2^205687131360 is an apocalyptic number.

205687131360 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 205687131360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324195250176).

205687131360 is an abundant number, since it is smaller than the sum of its proper divisors (442703368992).

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

205687131360 is a wasteful number, since it uses less digits than its factorization.

205687131360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314856 (or 314848 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 205687131360 in words is "two hundred five billion, six hundred eighty-seven million, one hundred thirty-one thousand, three hundred sixty".