210492838080 has 448 divisors, whose sum is σ = 850599751680. Its totient is φ = 48002347008.

The previous prime is 210492838069. The next prime is 210492838093. The reversal of 210492838080 is 80838294012.

210492838080 is a `hidden beast` number, since 2 + 1 + 0 + 492 + 8 + 3 + 80 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27998482 + ... + 28005998.

It is an arithmetic number, because the mean of its divisors is an integer number (1898660160).

Almost surely, 2^210492838080 is an apocalyptic number.

210492838080 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 210492838080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425299875840).

210492838080 is an abundant number, since it is smaller than the sum of its proper divisors (640106913600).

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

210492838080 is a wasteful number, since it uses less digits than its factorization.

210492838080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8013 (or 7997 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 210492838080 in words is "two hundred ten billion, four hundred ninety-two million, eight hundred thirty-eight thousand, eighty".