213843002880000 has 2080 divisors, whose sum is σ = 788658798799872. Its totient is φ = 51196723200000.

The previous prime is 213843002879971. The next prime is 213843002880041. The reversal of 213843002880000 is 88200348312.

It is a tau number, because it is divible by the number of its divisors (2080).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 687598079845 + ... + 687598080155.

Almost surely, 2^{213843002880000} is an apocalyptic number.

213843002880000 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 213843002880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394329399399936).

213843002880000 is an abundant number, since it is smaller than the sum of its proper divisors (574815795919872).

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

213843002880000 is an equidigital number, since it uses as much as digits as its factorization.

213843002880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The spelling of 213843002880000 in words is "two hundred thirteen trillion, eight hundred forty-three billion, two million, eight hundred eighty thousand".