20205746526 has 128 divisors (see below), whose sum is σ = 49408128000. Its totient is φ = 5500293120.

The previous prime is 20205746521. The next prime is 20205746527. The reversal of 20205746526 is 62564750202.

It is a super-3 number, since 3×20205746526³ (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20205746521) 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 63 ways as a sum of consecutive naturals, for example, 3625470 + ... + 3631038.

It is an arithmetic number, because the mean of its divisors is an integer number (386001000).

Almost surely, 2^20205746526 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20205746526, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24704064000).

20205746526 is an abundant number, since it is smaller than the sum of its proper divisors (29202381474).

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

20205746526 is a wasteful number, since it uses less digits than its factorization.

20205746526 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5679 (or 5665 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 39.

The spelling of 20205746526 in words is "twenty billion, two hundred five million, seven hundred forty-six thousand, five hundred twenty-six".