213108676480 has 256 divisors, whose sum is σ = 587524700160. Its totient is φ = 72406794240.

The previous prime is 213108676439. The next prime is 213108676507. The reversal of 213108676480 is 84676801312.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 213108676480.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 312018219 + ... + 312018901.

It is an arithmetic number, because the mean of its divisors is an integer number (2295018360).

Almost surely, 2^213108676480 is an apocalyptic number.

213108676480 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 213108676480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293762350080).

213108676480 is an abundant number, since it is smaller than the sum of its proper divisors (374416023680).

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

213108676480 is a wasteful number, since it uses less digits than its factorization.

213108676480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1237 (or 1225 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 46.

The spelling of 213108676480 in words is "two hundred thirteen billion, one hundred eight million, six hundred seventy-six thousand, four hundred eighty".