208212668160 has 288 divisors, whose sum is σ = 778516365312. Its totient is φ = 46430453760.

The previous prime is 208212668141. The next prime is 208212668179. The reversal of 208212668160 is 61866212802.

It is an interprime number because it is at equal distance from previous prime (208212668141) and next prime (208212668179).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 1007617 + ... + 1196543.

It is an arithmetic number, because the mean of its divisors is an integer number (2703181824).

Almost surely, 2^208212668160 is an apocalyptic number.

208212668160 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 208212668160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389258182656).

208212668160 is an abundant number, since it is smaller than the sum of its proper divisors (570303697152).

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

208212668160 is a wasteful number, since it uses less digits than its factorization.

208212668160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188999 (or 188985 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The spelling of 208212668160 in words is "two hundred eight billion, two hundred twelve million, six hundred sixty-eight thousand, one hundred sixty".