208150028412480 has 2016 divisors, whose sum is σ = 933477898953600. Its totient is φ = 42071629824000.

The previous prime is 208150028412479. The next prime is 208150028412541. The reversal of 208150028412480 is 84214820051802.

It is a happy number.

208150028412480 is a `hidden beast` number, since 2 + 0 + 8 + 1 + 500 + 2 + 8 + 41 + 24 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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 287 ways as a sum of consecutive naturals, for example, 22212142195 + ... + 22212151565.

It is an arithmetic number, because the mean of its divisors is an integer number (463034672100).

Almost surely, 2^{208150028412480} is an apocalyptic number.

208150028412480 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 208150028412480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466738949476800).

208150028412480 is an abundant number, since it is smaller than the sum of its proper divisors (725327870541120).

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

208150028412480 is a wasteful number, since it uses less digits than its factorization.

208150028412480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9809 (or 9789 counting only the distinct ones).

The product of its (nonzero) digits is 327680, while the sum is 45.

The spelling of 208150028412480 in words is "two hundred eight trillion, one hundred fifty billion, twenty-eight million, four hundred twelve thousand, four hundred eighty".