20213898624 has 256 divisors, whose sum is σ = 60903302400. Its totient is φ = 6681512448.

The previous prime is 20213898583. The next prime is 20213898641. The reversal of 20213898624 is 42689831202.

20213898624 is a `hidden beast` number, since 2 + 0 + 2 + 13 + 8 + 9 + 8 + 624 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 20213898624.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 45629347 + ... + 45629789.

It is an arithmetic number, because the mean of its divisors is an integer number (237903525).

Almost surely, 2^20213898624 is an apocalyptic number.

20213898624 is a gapful number since it is divisible by the number (24) 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 20213898624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30451651200).

20213898624 is an abundant number, since it is smaller than the sum of its proper divisors (40689403776).

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

20213898624 is an frugal number, since it uses more digits than its factorization.

20213898624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 20213898624 in words is "twenty billion, two hundred thirteen million, eight hundred ninety-eight thousand, six hundred twenty-four".