20147289552 has 240 divisors, whose sum is σ = 61787257168. Its totient is φ = 6091407360.

The previous prime is 20147289551. The next prime is 20147289563. The reversal of 20147289552 is 25598274102.

20147289552 is a `hidden beast` number, since 2 + 0 + 14 + 7 + 2 + 89 + 552 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 12851396496 + 7295893056 = 113364^2 + 85416^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 20147289498 and 20147289507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20147289551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32866398 + ... + 32867010.

Almost surely, 2^20147289552 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 20147289552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30893628584).

20147289552 is an abundant number, since it is smaller than the sum of its proper divisors (41639967616).

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

20147289552 is a wasteful number, since it uses less digits than its factorization.

20147289552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 20147289552 in words is "twenty billion, one hundred forty-seven million, two hundred eighty-nine thousand, five hundred fifty-two".