213854082000 has 640 divisors, whose sum is σ = 789114493440. Its totient is φ = 49390387200.

The previous prime is 213854081993. The next prime is 213854082031. The reversal of 213854082000 is 280458312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 167465362 + ... + 167466638.

It is an arithmetic number, because the mean of its divisors is an integer number (1232991396).

Almost surely, 2^213854082000 is an apocalyptic number.

213854082000 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 213854082000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394557246720).

213854082000 is an abundant number, since it is smaller than the sum of its proper divisors (575260411440).

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

213854082000 is a wasteful number, since it uses less digits than its factorization.

213854082000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1448 (or 1432 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The spelling of 213854082000 in words is "two hundred thirteen billion, eight hundred fifty-four million, eighty-two thousand".