208827421920 has 480 divisors, whose sum is σ = 796045374432. Its totient is φ = 51250434048.

The previous prime is 208827421889. The next prime is 208827421973. The reversal of 208827421920 is 29124728802.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 62841379 + ... + 62844701.

Almost surely, 2^208827421920 is an apocalyptic number.

208827421920 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 208827421920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398022687216).

208827421920 is an abundant number, since it is smaller than the sum of its proper divisors (587217952512).

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

208827421920 is a wasteful number, since it uses less digits than its factorization.

208827421920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3736 (or 3719 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 208827421920 in words is "two hundred eight billion, eight hundred twenty-seven million, four hundred twenty-one thousand, nine hundred twenty".