20624417856 has 224 divisors, whose sum is σ = 70245914880. Its totient is φ = 5811720192.

The previous prime is 20624417843. The next prime is 20624417881. The reversal of 20624417856 is 65871442602.

20624417856 is a `hidden beast` number, since 2 + 0 + 624 + 4 + 17 + 8 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×20624417856² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 871330 + ... + 894686.

Almost surely, 2^20624417856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20624417856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35122957440).

20624417856 is an abundant number, since it is smaller than the sum of its proper divisors (49621497024).

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

20624417856 is a wasteful number, since it uses less digits than its factorization.

20624417856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23458 (or 23442 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 20624417856 in words is "twenty billion, six hundred twenty-four million, four hundred seventeen thousand, eight hundred fifty-six".