45059788800 has 468 divisors, whose sum is σ = 173855645964. Its totient is φ = 11088691200.

The previous prime is 45059788793. The next prime is 45059788801. The reversal of 45059788800 is 888795054.

45059788800 is a `hidden beast` number, since 45 + 0 + 597 + 8 + 8 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 5722619904 + 39337168896 = 75648^2 + 198336^2 .

It is a tau number, because it is divible by the number of its divisors (468).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45059788801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11978920 + ... + 11982680.

It is an arithmetic number, because the mean of its divisors is an integer number (371486423).

Almost surely, 2^45059788800 is an apocalyptic number.

45059788800 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 45059788800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86927822982).

45059788800 is an abundant number, since it is smaller than the sum of its proper divisors (128795857164).

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

45059788800 is a wasteful number, since it uses less digits than its factorization.

45059788800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3814 (or 3784 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The spelling of 45059788800 in words is "forty-five billion, fifty-nine million, seven hundred eighty-eight thousand, eight hundred".