210493815840 has 864 divisors, whose sum is σ = 920747108736. Its totient is φ = 43297873920.

The previous prime is 210493815827. The next prime is 210493815859. The reversal of 210493815840 is 48518394012.

210493815840 is a `hidden beast` number, since 2 + 1 + 0 + 493 + 8 + 158 + 4 + 0 = 666.

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 143 ways as a sum of consecutive naturals, for example, 79943164 + ... + 79945796.

It is an arithmetic number, because the mean of its divisors is an integer number (1065679524).

Almost surely, 2^210493815840 is an apocalyptic number.

210493815840 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 210493815840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460373554368).

210493815840 is an abundant number, since it is smaller than the sum of its proper divisors (710253292896).

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

210493815840 is a wasteful number, since it uses less digits than its factorization.

210493815840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2782 (or 2764 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 210493815840 in words is "two hundred ten billion, four hundred ninety-three million, eight hundred fifteen thousand, eight hundred forty".