213780924000 has 1536 divisors, whose sum is σ = 943488000000. Its totient is φ = 46942156800.

The previous prime is 213780923987. The next prime is 213780924067. The reversal of 213780924000 is 429087312.

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 polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1074275901 + ... + 1074276099.

It is an arithmetic number, because the mean of its divisors is an integer number (614250000).

Almost surely, 2^213780924000 is an apocalyptic number.

213780924000 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 213780924000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471744000000).

213780924000 is an abundant number, since it is smaller than the sum of its proper divisors (729707076000).

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

213780924000 is a wasteful number, since it uses less digits than its factorization.

213780924000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 213780924000 in words is "two hundred thirteen billion, seven hundred eighty million, nine hundred twenty-four thousand".