208159079040 has 512 divisors, whose sum is σ = 807640243200. Its totient is φ = 50250240000.

The previous prime is 208159079003. The next prime is 208159079041. The reversal of 208159079040 is 40970951802.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (208159079041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47707899 + ... + 47712261.

It is an arithmetic number, because the mean of its divisors is an integer number (1577422350).

Almost surely, 2^208159079040 is an apocalyptic number.

208159079040 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 208159079040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403820121600).

208159079040 is an abundant number, since it is smaller than the sum of its proper divisors (599481164160).

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

208159079040 is a wasteful number, since it uses less digits than its factorization.

208159079040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4653 (or 4635 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 208159079040 in words is "two hundred eight billion, one hundred fifty-nine million, seventy-nine thousand, forty".