20577648096 has 288 divisors, whose sum is σ = 66245594688. Its totient is φ = 6023086080.

The previous prime is 20577648089. The next prime is 20577648097. The reversal of 20577648096 is 69084677502.

20577648096 is a `hidden beast` number, since 2 + 0 + 5 + 7 + 76 + 480 + 96 = 666.

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

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20577648097) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4614700 + ... + 4619156.

It is an arithmetic number, because the mean of its divisors is an integer number (230019426).

Almost surely, 2^20577648096 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 20577648096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33122797344).

20577648096 is an abundant number, since it is smaller than the sum of its proper divisors (45667946592).

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

20577648096 is a wasteful number, since it uses less digits than its factorization.

20577648096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4554 (or 4543 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 20577648096 in words is "twenty billion, five hundred seventy-seven million, six hundred forty-eight thousand, ninety-six".