210278130940900 has 243 divisors, whose sum is σ = 504568998694971. Its totient is φ = 76008284352000.

The previous prime is 210278130940811. The next prime is 210278130940949. The reversal of 210278130940900 is 9049031872012.

It is a happy number.

The square root of 210278130940900 is 14500970.

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

It can be written as a sum of positive squares in 4 ways, for example, as 3129353924004 + 207148777016896 = 1768998^2 + 14392664^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 384420714427 + ... + 384420714973.

Almost surely, 2^{210278130940900} is an apocalyptic number.

210278130940900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

210278130940900 is the 14500970-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210278130940900

210278130940900 is an abundant number, since it is smaller than the sum of its proper divisors (294290867754071).

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

210278130940900 is an equidigital number, since it uses as much as digits as its factorization.

210278130940900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1612 (or 806 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 46.

The spelling of 210278130940900 in words is "two hundred ten trillion, two hundred seventy-eight billion, one hundred thirty million, nine hundred forty thousand, nine hundred".