45205560760 has 96 divisors (see below), whose sum is σ = 111050222400. Its totient is φ = 16539667200.

The previous prime is 45205560739. The next prime is 45205560767. The reversal of 45205560760 is 6706550254.

45205560760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45205560767) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 364785 + ... + 472735.

It is an arithmetic number, because the mean of its divisors is an integer number (1156773150).

Almost surely, 2^45205560760 is an apocalyptic number.

45205560760 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 45205560760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55525111200).

45205560760 is an abundant number, since it is smaller than the sum of its proper divisors (65844661640).

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

45205560760 is a wasteful number, since it uses less digits than its factorization.

45205560760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108029 (or 108006 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 40.

The spelling of 45205560760 in words is "forty-five billion, two hundred five million, five hundred sixty thousand, seven hundred sixty".