213541332480 has 1280 divisors, whose sum is σ = 935254425600. Its totient is φ = 45108264960.

The previous prime is 213541332479. The next prime is 213541332517. The reversal of 213541332480 is 84233145312.

213541332480 is a `hidden beast` number, since 2 + 1 + 3 + 541 + 3 + 32 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 344977611 + ... + 344978229.

It is an arithmetic number, because the mean of its divisors is an integer number (730667520).

Almost surely, 2^213541332480 is an apocalyptic number.

213541332480 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 213541332480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467627212800).

213541332480 is an abundant number, since it is smaller than the sum of its proper divisors (721713093120).

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

213541332480 is a wasteful number, since it uses less digits than its factorization.

213541332480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 213541332480 its reverse (84233145312), we get a palindrome (297774477792).

The spelling of 213541332480 in words is "two hundred thirteen billion, five hundred forty-one million, three hundred thirty-two thousand, four hundred eighty".