206956216320 has 480 divisors, whose sum is σ = 770050713600. Its totient is φ = 46479704064.

The previous prime is 206956216307. The next prime is 206956216331. The reversal of 206956216320 is 23612659602.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 101497861 + ... + 101499899.

It is an arithmetic number, because the mean of its divisors is an integer number (1604272320).

Almost surely, 2^206956216320 is an apocalyptic number.

206956216320 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 206956216320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385025356800).

206956216320 is an abundant number, since it is smaller than the sum of its proper divisors (563094497280).

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

206956216320 is an equidigital number, since it uses as much as digits as its factorization.

206956216320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2141 (or 2115 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The spelling of 206956216320 in words is "two hundred six billion, nine hundred fifty-six million, two hundred sixteen thousand, three hundred twenty".