206212857552 has 120 divisors (see below), whose sum is σ = 621649665000. Its totient is φ = 63435101184.

The previous prime is 206212857541. The next prime is 206212857563. The reversal of 206212857552 is 255758212602.

206212857552 is a `hidden beast` number, since 2 + 0 + 6 + 2 + 1 + 28 + 575 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (206212857541) and next prime (206212857563).

It can be written as a sum of positive squares in 4 ways, for example, as 43187489856 + 163025367696 = 207816^2 + 403764^2 .

It is a super-3 number, since 3×206212857552³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 206212857498 and 206212857507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9928074 + ... + 9948822.

It is an arithmetic number, because the mean of its divisors is an integer number (5180413875).

Almost surely, 2^206212857552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206212857552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310824832500).

206212857552 is an abundant number, since it is smaller than the sum of its proper divisors (415436807448).

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

206212857552 is a wasteful number, since it uses less digits than its factorization.

206212857552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26085 (or 26076 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 206212857552 in words is "two hundred six billion, two hundred twelve million, eight hundred fifty-seven thousand, five hundred fifty-two".