45500580000 has 360 divisors, whose sum is σ = 163192377348. Its totient is φ = 12020736000.

The previous prime is 45500579987. The next prime is 45500580023. The reversal of 45500580000 is 8500554.

It can be written as a sum of positive squares in 10 ways, for example, as 8678040336 + 36822539664 = 93156^2 + 191892^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 20338882 + ... + 20341118.

Almost surely, 2^45500580000 is an apocalyptic number.

45500580000 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 45500580000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81596188674).

45500580000 is an abundant number, since it is smaller than the sum of its proper divisors (117691797348).

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

45500580000 is a wasteful number, since it uses less digits than its factorization.

45500580000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2386 (or 2360 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The spelling of 45500580000 in words is "forty-five billion, five hundred million, five hundred eighty thousand".