45256560000 has 320 divisors, whose sum is σ = 150991354800. Its totient is φ = 12006400000.

The previous prime is 45256559989. The next prime is 45256560059. The reversal of 45256560000 is 6565254.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 64559650 + ... + 64560350.

Almost surely, 2^45256560000 is an apocalyptic number.

45256560000 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 45256560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75495677400).

45256560000 is an abundant number, since it is smaller than the sum of its proper divisors (105734794800).

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

45256560000 is an equidigital number, since it uses as much as digits as its factorization.

45256560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007 (or 980 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 33.

The spelling of 45256560000 in words is "forty-five billion, two hundred fifty-six million, five hundred sixty thousand".