213479710860960 has 1728 divisors, whose sum is σ = 804380223628800. Its totient is φ = 51382955999232.

The previous prime is 213479710860953. The next prime is 213479710861037. The reversal of 213479710860960 is 69068017974312.

213479710860960 is a `hidden beast` number, since 2 + 1 + 3 + 4 + 7 + 9 + 7 + 10 + 8 + 609 + 6 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1359743381202 + ... + 1359743381358.

It is an arithmetic number, because the mean of its divisors is an integer number (465497814600).

Almost surely, 2^{213479710860960} is an apocalyptic number.

213479710860960 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 213479710860960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402190111814400).

213479710860960 is an abundant number, since it is smaller than the sum of its proper divisors (590900512767840).

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

213479710860960 is a wasteful number, since it uses less digits than its factorization.

213479710860960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The spelling of 213479710860960 in words is "two hundred thirteen trillion, four hundred seventy-nine billion, seven hundred ten million, eight hundred sixty thousand, nine hundred sixty".