213275842560 has 768 divisors, whose sum is σ = 863291520000. Its totient is φ = 49439047680.

The previous prime is 213275842529. The next prime is 213275842567. The reversal of 213275842560 is 65248572312.

213275842560 is a `hidden beast` number, since 2 + 1 + 3 + 2 + 7 + 5 + 84 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213275842567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 69947916 + ... + 69950964.

It is an arithmetic number, because the mean of its divisors is an integer number (1124077500).

Almost surely, 2^213275842560 is an apocalyptic number.

213275842560 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 213275842560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431645760000).

213275842560 is an abundant number, since it is smaller than the sum of its proper divisors (650015677440).

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

213275842560 is a wasteful number, since it uses less digits than its factorization.

213275842560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3119 (or 3093 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 213275842560 in words is "two hundred thirteen billion, two hundred seventy-five million, eight hundred forty-two thousand, five hundred sixty".