20589761952 has 120 divisors (see below), whose sum is σ = 60679080000. Its totient is φ = 6849069696.

The previous prime is 20589761923. The next prime is 20589761957. The reversal of 20589761952 is 25916798502.

20589761952 is a `hidden beast` number, since 2 + 0 + 589 + 7 + 6 + 1 + 9 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (20589761957) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1285449 + ... + 1301367.

It is an arithmetic number, because the mean of its divisors is an integer number (505659000).

Almost surely, 2^20589761952 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 20589761952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30339540000).

20589761952 is an abundant number, since it is smaller than the sum of its proper divisors (40089318048).

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

20589761952 is a wasteful number, since it uses less digits than its factorization.

20589761952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16440 (or 16423 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 20589761952 in words is "twenty billion, five hundred eighty-nine million, seven hundred sixty-one thousand, nine hundred fifty-two".