45428099760 has 240 divisors, whose sum is σ = 158160296736. Its totient is φ = 11675860992.

The previous prime is 45428099747. The next prime is 45428099777. The reversal of 45428099760 is 6799082454.

45428099760 is a `hidden beast` number, since 4 + 542 + 8 + 0 + 9 + 97 + 6 + 0 = 666.

45428099760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 45428099697 and 45428099706.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2842512 + ... + 2858448.

Almost surely, 2^45428099760 is an apocalyptic number.

45428099760 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 45428099760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79080148368).

45428099760 is an abundant number, since it is smaller than the sum of its proper divisors (112732196976).

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

45428099760 is a wasteful number, since it uses less digits than its factorization.

45428099760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16100 (or 16091 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 45428099760 in words is "forty-five billion, four hundred twenty-eight million, ninety-nine thousand, seven hundred sixty".