214004020520 has 32 divisors (see below), whose sum is σ = 481542973920. Its totient is φ = 85595576640.

The previous prime is 214004020493. The next prime is 214004020543. The reversal of 214004020520 is 25020400412.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 214004020492 and 214004020501.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 409739 + ... + 771941.

It is an arithmetic number, because the mean of its divisors is an integer number (15048217935).

Almost surely, 2^214004020520 is an apocalyptic number.

214004020520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214004020520 is an abundant number, since it is smaller than the sum of its proper divisors (267538953400).

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

214004020520 is a wasteful number, since it uses less digits than its factorization.

214004020520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376985 (or 376981 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

Adding to 214004020520 its reverse (25020400412), we get a palindrome (239024420932).

The spelling of 214004020520 in words is "two hundred fourteen billion, four million, twenty thousand, five hundred twenty".