210256670052900 has 243 divisors, whose sum is σ = 695576986610961. Its totient is φ = 53115386506560.

The previous prime is 210256670052893. The next prime is 210256670052917. The reversal of 210256670052900 is 9250076652012.

The square root of 210256670052900 is 14500230.

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

210256670052900 is a `hidden beast` number, since 2 + 1 + 0 + 2 + 56 + 6 + 70 + 0 + 529 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 75692401219044 + 134564268833856 = 8700138^2 + 11600184^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 8265118381 + ... + 8265143819.

Almost surely, 2^{210256670052900} is an apocalyptic number.

210256670052900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

210256670052900 is the 14500230-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210256670052900

210256670052900 is an abundant number, since it is smaller than the sum of its proper divisors (485320316558061).

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

210256670052900 is an equidigital number, since it uses as much as digits as its factorization.

210256670052900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50936 (or 25468 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 210256670052900 in words is "two hundred ten trillion, two hundred fifty-six billion, six hundred seventy million, fifty-two thousand, nine hundred".