206508992040 has 192 divisors, whose sum is σ = 725809593600. Its totient is φ = 50620018176.

The previous prime is 206508992029. The next prime is 206508992101. The reversal of 206508992040 is 40299805602.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1026207 + ... + 1210833.

It is an arithmetic number, because the mean of its divisors is an integer number (3780258300).

Almost surely, 2^206508992040 is an apocalyptic number.

206508992040 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 206508992040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362904796800).

206508992040 is an abundant number, since it is smaller than the sum of its proper divisors (519300601560).

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

206508992040 is a wasteful number, since it uses less digits than its factorization.

206508992040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184896 (or 184889 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 206508992040 in words is "two hundred six billion, five hundred eight million, nine hundred ninety-two thousand, forty".