208124045402800 has 120 divisors (see below), whose sum is σ = 500630430258000. Its totient is φ = 83147684106240.

The previous prime is 208124045402771. The next prime is 208124045402807. The reversal of 208124045402800 is 8204540421802.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (208124045402807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2585704956 + ... + 2585785444.

It is an arithmetic number, because the mean of its divisors is an integer number (4171920252150).

Almost surely, 2^{208124045402800} is an apocalyptic number.

208124045402800 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 208124045402800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250315215129000).

208124045402800 is an abundant number, since it is smaller than the sum of its proper divisors (292506384855200).

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

208124045402800 is a wasteful number, since it uses less digits than its factorization.

208124045402800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88343 (or 88332 counting only the distinct ones).

The product of its (nonzero) digits is 163840, while the sum is 40.

The spelling of 208124045402800 in words is "two hundred eight trillion, one hundred twenty-four billion, forty-five million, four hundred two thousand, eight hundred".