208985478746880 has 1152 divisors, whose sum is σ = 770481981480960. Its totient is φ = 47744778240000.

The previous prime is 208985478746879. The next prime is 208985478746893. The reversal of 208985478746880 is 88647874589802.

It is a junction number, because it is equal to n+sod(n) for n = 208985478746793 and 208985478746802.

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, 161878759035 + ... + 161878760325.

It is an arithmetic number, because the mean of its divisors is an integer number (668821164480).

Almost surely, 2^{208985478746880} is an apocalyptic number.

208985478746880 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 208985478746880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385240990740480).

208985478746880 is an abundant number, since it is smaller than the sum of its proper divisors (561496502734080).

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

208985478746880 is a wasteful number, since it uses less digits than its factorization.

208985478746880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2249 (or 2235 counting only the distinct ones).

The product of its (nonzero) digits is 13872660480, while the sum is 84.

The spelling of 208985478746880 in words is "two hundred eight trillion, nine hundred eighty-five billion, four hundred seventy-eight million, seven hundred forty-six thousand, eight hundred eighty".