41653525560 has 128 divisors (see below), whose sum is σ = 126000576000. Its totient is φ = 11015447040.

The previous prime is 41653525559. The next prime is 41653525591. The reversal of 41653525560 is 6552535614.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 11283315 + ... + 11287005.

It is an arithmetic number, because the mean of its divisors is an integer number (984379500).

Almost surely, 2^41653525560 is an apocalyptic number.

41653525560 is a gapful number since it is divisible by the number (40) 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 41653525560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63000288000).

41653525560 is an abundant number, since it is smaller than the sum of its proper divisors (84347050440).

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

41653525560 is a wasteful number, since it uses less digits than its factorization.

41653525560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4461 (or 4457 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 42.

The spelling of 41653525560 in words is "forty-one billion, six hundred fifty-three million, five hundred twenty-five thousand, five hundred sixty".