208101342720 has 160 divisors (see below), whose sum is σ = 665596961568. Its totient is φ = 55466754048.

The previous prime is 208101342703. The next prime is 208101342749. The reversal of 208101342720 is 27243101802.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19632462 + ... + 19643058.

Almost surely, 2^208101342720 is an apocalyptic number.

208101342720 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 208101342720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332798480784).

208101342720 is an abundant number, since it is smaller than the sum of its proper divisors (457495618848).

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

208101342720 is a wasteful number, since it uses less digits than its factorization.

208101342720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13180 (or 13164 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The spelling of 208101342720 in words is "two hundred eight billion, one hundred one million, three hundred forty-two thousand, seven hundred twenty".