214388053600 has 216 divisors, whose sum is σ = 612488142000. Its totient is φ = 73062097920.

The previous prime is 214388053591. The next prime is 214388053601. The reversal of 214388053600 is 6350883412.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214388053601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6530026 + ... + 6562774.

It is an arithmetic number, because the mean of its divisors is an integer number (2835593250).

Almost surely, 2^214388053600 is an apocalyptic number.

214388053600 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 214388053600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306244071000).

214388053600 is an abundant number, since it is smaller than the sum of its proper divisors (398100088400).

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

214388053600 is a wasteful number, since it uses less digits than its factorization.

214388053600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32950 (or 32930 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The spelling of 214388053600 in words is "two hundred fourteen billion, three hundred eighty-eight million, fifty-three thousand, six hundred".