213609620880 has 320 divisors, whose sum is σ = 746432225280. Its totient is φ = 56141807616.

The previous prime is 213609620867. The next prime is 213609620893. The reversal of 213609620880 is 88026906312.

213609620880 is a `hidden beast` number, since 2 + 1 + 360 + 9 + 6 + 208 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (213609620867) and next prime (213609620893).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53844657 + ... + 53848623.

It is an arithmetic number, because the mean of its divisors is an integer number (2332600704).

Almost surely, 2^213609620880 is an apocalyptic number.

213609620880 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 213609620880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373216112640).

213609620880 is an abundant number, since it is smaller than the sum of its proper divisors (532822604400).

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

213609620880 is a wasteful number, since it uses less digits than its factorization.

213609620880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4343 (or 4331 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 213609620880 in words is "two hundred thirteen billion, six hundred nine million, six hundred twenty thousand, eight hundred eighty".