213486792960 has 288 divisors, whose sum is σ = 779999818752. Its totient is φ = 48748584960.

The previous prime is 213486792947. The next prime is 213486793001. The reversal of 213486792960 is 69297684312.

It is a super-4 number, since 4×213486792960⁴ (a number of 46 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 213486792960.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31903215 + ... + 31909905.

It is an arithmetic number, because the mean of its divisors is an integer number (2708332704).

Almost surely, 2^213486792960 is an apocalyptic number.

213486792960 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 213486792960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389999909376).

213486792960 is an abundant number, since it is smaller than the sum of its proper divisors (566513025792).

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

213486792960 is a wasteful number, since it uses less digits than its factorization.

213486792960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7909 (or 7895 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 57.

The spelling of 213486792960 in words is "two hundred thirteen billion, four hundred eighty-six million, seven hundred ninety-two thousand, nine hundred sixty".