206565049152 has 1120 divisors, whose sum is σ = 796625280000. Its totient is φ = 52449223680.

The previous prime is 206565049043. The next prime is 206565049169. The reversal of 206565049152 is 251940565602.

206565049152 is a `hidden beast` number, since 2 + 0 + 6 + 5 + 6 + 504 + 91 + 52 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 206565049098 and 206565049107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1153994599 + ... + 1153994777.

Almost surely, 2^206565049152 is an apocalyptic number.

206565049152 is a gapful number since it is divisible by the number (22) 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 206565049152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398312640000).

206565049152 is an abundant number, since it is smaller than the sum of its proper divisors (590060230848).

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

206565049152 is a wasteful number, since it uses less digits than its factorization.

206565049152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 206565049152 in words is "two hundred six billion, five hundred sixty-five million, forty-nine thousand, one hundred fifty-two".