45586763560 has 128 divisors (see below), whose sum is σ = 115470028800. Its totient is φ = 16082426880.

The previous prime is 45586763539. The next prime is 45586763561. The reversal of 45586763560 is 6536768554.

It is not an unprimeable number, because it can be changed into a prime (45586763561) 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 31 ways as a sum of consecutive naturals, for example, 1255582 + ... + 1291378.

It is an arithmetic number, because the mean of its divisors is an integer number (902109600).

Almost surely, 2^45586763560 is an apocalyptic number.

45586763560 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 45586763560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57735014400).

45586763560 is an abundant number, since it is smaller than the sum of its proper divisors (69883265240).

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

45586763560 is a wasteful number, since it uses less digits than its factorization.

45586763560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35931 (or 35927 counting only the distinct ones).

The product of its (nonzero) digits is 18144000, while the sum is 55.

The spelling of 45586763560 in words is "forty-five billion, five hundred eighty-six million, seven hundred sixty-three thousand, five hundred sixty".