20552434560 has 1344 divisors, whose sum is σ = 91507708800. Its totient is φ = 4389396480.

The previous prime is 20552434543. The next prime is 20552434561. The reversal of 20552434560 is 6543425502.

20552434560 is a `hidden beast` number, since 2 + 0 + 5 + 52 + 43 + 4 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20552434561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 662981745 + ... + 662981775.

Almost surely, 2^20552434560 is an apocalyptic number.

20552434560 is a gapful number since it is divisible by the number (20) 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 20552434560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45753854400).

20552434560 is an abundant number, since it is smaller than the sum of its proper divisors (70955274240).

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

20552434560 is an equidigital number, since it uses as much as digits as its factorization.

20552434560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 20552434560 in words is "twenty billion, five hundred fifty-two million, four hundred thirty-four thousand, five hundred sixty".