45805827760 has 480 divisors, whose sum is σ = 144010782720. Its totient is φ = 13220444160.

The previous prime is 45805827733. The next prime is 45805827791. The reversal of 45805827760 is 6772850854.

It is a junction number, because it is equal to n+sod(n) for n = 45805827698 and 45805827707.

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 95 ways as a sum of consecutive naturals, for example, 60509302 + ... + 60510058.

It is an arithmetic number, because the mean of its divisors is an integer number (300022464).

Almost surely, 2^45805827760 is an apocalyptic number.

45805827760 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 45805827760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72005391360).

45805827760 is an abundant number, since it is smaller than the sum of its proper divisors (98204954960).

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

45805827760 is a wasteful number, since it uses less digits than its factorization.

45805827760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 3763200, while the sum is 52.

The spelling of 45805827760 in words is "forty-five billion, eight hundred five million, eight hundred twenty-seven thousand, seven hundred sixty".