208257252160 has 112 divisors (see below), whose sum is σ = 504500302656. Its totient is φ = 81870815232.

The previous prime is 208257252143. The next prime is 208257252163. The reversal of 208257252160 is 61252752802.

208257252160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208257252163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5105767 + ... + 5146393.

It is an arithmetic number, because the mean of its divisors is an integer number (4504466988).

Almost surely, 2^208257252160 is an apocalyptic number.

208257252160 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 208257252160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252250151328).

208257252160 is an abundant number, since it is smaller than the sum of its proper divisors (296243050496).

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

208257252160 is a wasteful number, since it uses less digits than its factorization.

208257252160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40920 (or 40910 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 40.

The spelling of 208257252160 in words is "two hundred eight billion, two hundred fifty-seven million, two hundred fifty-two thousand, one hundred sixty".