213471054720 has 640 divisors, whose sum is σ = 950472230400. Its totient is φ = 44356792320.

The previous prime is 213471054689. The next prime is 213471054721. The reversal of 213471054720 is 27450174312.

213471054720 is a `hidden beast` number, since 21 + 3 + 4 + 71 + 0 + 547 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213471054721) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3964941 + ... + 4018419.

It is an arithmetic number, because the mean of its divisors is an integer number (1485112860).

Almost surely, 2^213471054720 is an apocalyptic number.

213471054720 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 213471054720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475236115200).

213471054720 is an abundant number, since it is smaller than the sum of its proper divisors (737001175680).

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

213471054720 is a wasteful number, since it uses less digits than its factorization.

213471054720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53528 (or 53507 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 213471054720 in words is "two hundred thirteen billion, four hundred seventy-one million, fifty-four thousand, seven hundred twenty".