211428802368 has 280 divisors, whose sum is σ = 719253295552. Its totient is φ = 60405709824.

The previous prime is 211428802363. The next prime is 211428802381. The reversal of 211428802368 is 863208824112.

211428802368 is a `hidden beast` number, since 2 + 1 + 1 + 4 + 288 + 0 + 2 + 368 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211428802363) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8805996 + ... + 8829972.

Almost surely, 2^211428802368 is an apocalyptic number.

211428802368 is a gapful number since it is divisible by the number (28) 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 211428802368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359626647776).

211428802368 is an abundant number, since it is smaller than the sum of its proper divisors (507824493184).

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

211428802368 is an frugal number, since it uses more digits than its factorization.

211428802368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24023 (or 23989 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 211428802368 in words is "two hundred eleven billion, four hundred twenty-eight million, eight hundred two thousand, three hundred sixty-eight".