206345508890400 has 6912 divisors, whose sum is σ = 990598997606400. Its totient is φ = 41188663296000.

The previous prime is 206345508890387. The next prime is 206345508890467. The reversal of 206345508890400 is 4098805543602.

206345508890400 is a `hidden beast` number, since 2 + 0 + 6 + 3 + 4 + 5 + 508 + 8 + 90 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 492471381391 + ... + 492471381809.

It is an arithmetic number, because the mean of its divisors is an integer number (143315827200).

Almost surely, 2^{206345508890400} is an apocalyptic number.

206345508890400 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 206345508890400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495299498803200).

206345508890400 is an abundant number, since it is smaller than the sum of its proper divisors (784253488716000).

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

206345508890400 is a wasteful number, since it uses less digits than its factorization.

206345508890400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 206345508890400 in words is "two hundred six trillion, three hundred forty-five billion, five hundred eight million, eight hundred ninety thousand, four hundred".