213483029760 has 2880 divisors, whose sum is σ = 1094936984064. Its totient is φ = 38539100160.

The previous prime is 213483029737. The next prime is 213483029831. The reversal of 213483029760 is 67920384312.

213483029760 is a `hidden beast` number, since 21 + 3 + 483 + 0 + 2 + 97 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 11220 × 1716 × 11088.

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 319 ways as a sum of consecutive naturals, for example, 12557825272 + ... + 12557825288.

Almost surely, 2^213483029760 is an apocalyptic number.

213483029760 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 213483029760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547468492032).

213483029760 is an abundant number, since it is smaller than the sum of its proper divisors (881453954304).

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

213483029760 is a wasteful number, since it uses less digits than its factorization.

213483029760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 213483029760 in words is "two hundred thirteen billion, four hundred eighty-three million, twenty-nine thousand, seven hundred sixty".