214325127800 has 384 divisors, whose sum is σ = 606627840000. Its totient is φ = 70311628800.

The previous prime is 214325127787. The next prime is 214325127839. The reversal of 214325127800 is 8721523412.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

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, 206279681 + ... + 206280719.

It is an arithmetic number, because the mean of its divisors is an integer number (1579760000).

Almost surely, 2^214325127800 is an apocalyptic number.

214325127800 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 214325127800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303313920000).

214325127800 is an abundant number, since it is smaller than the sum of its proper divisors (392302712200).

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

214325127800 is a wasteful number, since it uses less digits than its factorization.

214325127800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1204 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 35.

The spelling of 214325127800 in words is "two hundred fourteen billion, three hundred twenty-five million, one hundred twenty-seven thousand, eight hundred".