45521035560 has 1536 divisors, whose sum is σ = 212502528000. Its totient is φ = 8410521600.

The previous prime is 45521035523. The next prime is 45521035561. The reversal of 45521035560 is 6553012554.

45521035560 is a `hidden beast` number, since 4 + 5 + 52 + 10 + 35 + 560 = 666.

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 (45521035561) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 576215601 + ... + 576215679.

It is an arithmetic number, because the mean of its divisors is an integer number (138348000).

Almost surely, 2^45521035560 is an apocalyptic number.

45521035560 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 45521035560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106251264000).

45521035560 is an abundant number, since it is smaller than the sum of its proper divisors (166981492440).

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

45521035560 is a wasteful number, since it uses less digits than its factorization.

45521035560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The spelling of 45521035560 in words is "forty-five billion, five hundred twenty-one million, thirty-five thousand, five hundred sixty".