214250088000 has 672 divisors, whose sum is σ = 775123420032. Its totient is φ = 52116480000.

The previous prime is 214250087981. The next prime is 214250088011. The reversal of 214250088000 is 880052412.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 409655739 + ... + 409656261.

Almost surely, 2^214250088000 is an apocalyptic number.

214250088000 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 214250088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387561710016).

214250088000 is an abundant number, since it is smaller than the sum of its proper divisors (560873332032).

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

214250088000 is a wasteful number, since it uses less digits than its factorization.

214250088000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The spelling of 214250088000 in words is "two hundred fourteen billion, two hundred fifty million, eighty-eight thousand".