210504780864 has 189 divisors, whose sum is σ = 702141078951. Its totient is φ = 60122200320.

The previous prime is 210504780853. The next prime is 210504780869. The reversal of 210504780864 is 468087405012.

The square root of 210504780864 is 458808.

It is a perfect power (a square), and thus also a powerful number.

210504780864 is a `hidden beast` number, since 2 + 1 + 0 + 504 + 7 + 80 + 8 + 64 = 666.

It is not an unprimeable number, because it can be changed into a prime (210504780869) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 77078379 + ... + 77081109.

Almost surely, 2^210504780864 is an apocalyptic number.

210504780864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

210504780864 is the 458808-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210504780864

210504780864 is an abundant number, since it is smaller than the sum of its proper divisors (491636298087).

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

210504780864 is an frugal number, since it uses more digits than its factorization.

210504780864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5494 (or 2743 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 210504780864 in words is "two hundred ten billion, five hundred four million, seven hundred eighty thousand, eight hundred sixty-four".