210980978208 has 1152 divisors, whose sum is σ = 847456081920. Its totient is φ = 49679308800.

The previous prime is 210980978191. The next prime is 210980978233. The reversal of 210980978208 is 802879089012.

210980978208 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 637404603 + ... + 637404933.

It is an arithmetic number, because the mean of its divisors is an integer number (735638960).

Almost surely, 2^210980978208 is an apocalyptic number.

210980978208 is a gapful number since it is divisible by the number (28) 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 210980978208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423728040960).

210980978208 is an abundant number, since it is smaller than the sum of its proper divisors (636475103712).

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

210980978208 is a wasteful number, since it uses less digits than its factorization.

210980978208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 54.

The spelling of 210980978208 in words is "two hundred ten billion, nine hundred eighty million, nine hundred seventy-eight thousand, two hundred eight".