214510252000 has 144 divisors (see below), whose sum is σ = 579322585296. Its totient is φ = 78003552000.

The previous prime is 214510251971. The next prime is 214510252013. The reversal of 214510252000 is 252015412.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 262399 + ... + 705601.

It is an arithmetic number, because the mean of its divisors is an integer number (4023073509).

Almost surely, 2^214510252000 is an apocalyptic number.

214510252000 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 214510252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289661292648).

214510252000 is an abundant number, since it is smaller than the sum of its proper divisors (364812333296).

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

214510252000 is a wasteful number, since it uses less digits than its factorization.

214510252000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443250 (or 443221 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

Adding to 214510252000 its reverse (252015412), we get a palindrome (214762267412).

The spelling of 214510252000 in words is "two hundred fourteen billion, five hundred ten million, two hundred fifty-two thousand".