205671431000 has 128 divisors (see below), whose sum is σ = 550421913600. Its totient is φ = 70464931200.

The previous prime is 205671430957. The next prime is 205671431027. The reversal of 205671431000 is 134176502.

It is a super-2 number, since 2×205671431000² (a number of 23 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, 10399121 + ... + 10418879.

It is an arithmetic number, because the mean of its divisors is an integer number (4300171200).

Almost surely, 2^205671431000 is an apocalyptic number.

205671431000 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 205671431000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275210956800).

205671431000 is an abundant number, since it is smaller than the sum of its proper divisors (344750482600).

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

205671431000 is a wasteful number, since it uses less digits than its factorization.

205671431000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21274 (or 21260 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The spelling of 205671431000 in words is "two hundred five billion, six hundred seventy-one million, four hundred thirty-one thousand".