20955865824 has 288 divisors, whose sum is σ = 63011841984. Its totient is φ = 6599024640.

The previous prime is 20955865807. The next prime is 20955865837. The reversal of 20955865824 is 42856855902.

20955865824 is a `hidden beast` number, since 2 + 0 + 9 + 5 + 58 + 6 + 582 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66951492 + ... + 66951804.

It is an arithmetic number, because the mean of its divisors is an integer number (218791118).

Almost surely, 2^20955865824 is an apocalyptic number.

20955865824 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 20955865824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31505920992).

20955865824 is an abundant number, since it is smaller than the sum of its proper divisors (42055976160).

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

20955865824 is a wasteful number, since it uses less digits than its factorization.

20955865824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 54.

The spelling of 20955865824 in words is "twenty billion, nine hundred fifty-five million, eight hundred sixty-five thousand, eight hundred twenty-four".