45261760880 has 160 divisors (see below), whose sum is σ = 122638483968. Its totient is φ = 15214003200.

The previous prime is 45261760861. The next prime is 45261760889. The reversal of 45261760880 is 8806716254.

45261760880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45261760889) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11304959 + ... + 11308961.

Almost surely, 2^45261760880 is an apocalyptic number.

45261760880 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 45261760880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61319241984).

45261760880 is an abundant number, since it is smaller than the sum of its proper divisors (77376723088).

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

45261760880 is a wasteful number, since it uses less digits than its factorization.

45261760880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4415 (or 4409 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 47.

The spelling of 45261760880 in words is "forty-five billion, two hundred sixty-one million, seven hundred sixty thousand, eight hundred eighty".