208153895040 has 1024 divisors, whose sum is σ = 955229184000. Its totient is φ = 41600729088.

The previous prime is 208153895017. The next prime is 208153895057. The reversal of 208153895040 is 40598351802.

208153895040 is a `hidden beast` number, since 20 + 8 + 1 + 538 + 9 + 50 + 40 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 29873637 + ... + 29880603.

It is an arithmetic number, because the mean of its divisors is an integer number (932841000).

Almost surely, 2^208153895040 is an apocalyptic number.

208153895040 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 208153895040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477614592000).

208153895040 is an abundant number, since it is smaller than the sum of its proper divisors (747075288960).

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

208153895040 is a wasteful number, since it uses less digits than its factorization.

208153895040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7034 (or 7016 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 208153895040 in words is "two hundred eight billion, one hundred fifty-three million, eight hundred ninety-five thousand, forty".