45592457760 has 576 divisors, whose sum is σ = 175644443520. Its totient is φ = 10700881920.

The previous prime is 45592457747. The next prime is 45592457767. The reversal of 45592457760 is 6775429554.

It is a happy number.

45592457760 is a `hidden beast` number, since 4 + 5 + 5 + 9 + 2 + 4 + 577 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 45592457697 and 45592457706.

It is not an unprimeable number, because it can be changed into a prime (45592457767) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38604370 + ... + 38605550.

It is an arithmetic number, because the mean of its divisors is an integer number (304938270).

Almost surely, 2^45592457760 is an apocalyptic number.

45592457760 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 45592457760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87822221760).

45592457760 is an abundant number, since it is smaller than the sum of its proper divisors (130051985760).

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

45592457760 is a wasteful number, since it uses less digits than its factorization.

45592457760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1321 (or 1310 counting only the distinct ones).

The product of its (nonzero) digits is 10584000, while the sum is 54.

The spelling of 45592457760 in words is "forty-five billion, five hundred ninety-two million, four hundred fifty-seven thousand, seven hundred sixty".