213504000420 has 48 divisors (see below), whose sum is σ = 617095438848. Its totient is φ = 55097806080.

The previous prime is 213504000397. The next prime is 213504000431. The reversal of 213504000420 is 24000405312.

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 15 ways as a sum of consecutive naturals, for example, 57391689 + ... + 57395408.

It is an arithmetic number, because the mean of its divisors is an integer number (12856154976).

Almost surely, 2^213504000420 is an apocalyptic number.

213504000420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213504000420 is an abundant number, since it is smaller than the sum of its proper divisors (403591438428).

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

213504000420 is a wasteful number, since it uses less digits than its factorization.

213504000420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114787140 (or 114787138 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

Adding to 213504000420 its reverse (24000405312), we get a palindrome (237504405732).

The spelling of 213504000420 in words is "two hundred thirteen billion, five hundred four million, four hundred twenty", and thus it is an aban number.