214007832000 has 560 divisors, whose sum is σ = 838328613408. Its totient is φ = 53709004800.

The previous prime is 214007831971. The next prime is 214007832013. The reversal of 214007832000 is 238700412.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11006287 + ... + 11025713.

Almost surely, 2^214007832000 is an apocalyptic number.

214007832000 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 214007832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419164306704).

214007832000 is an abundant number, since it is smaller than the sum of its proper divisors (624320781408).

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

214007832000 is a wasteful number, since it uses less digits than its factorization.

214007832000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19483 (or 19454 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 214007832000 in words is "two hundred fourteen billion, seven million, eight hundred thirty-two thousand".