45777099785760 has 576 divisors, whose sum is σ = 184369207276800. Its totient is φ = 10337263534080.

The previous prime is 45777099785759. The next prime is 45777099785771. The reversal of 45777099785760 is 6758799077754.

45777099785760 is a `hidden beast` number, since 457 + 7 + 7 + 0 + 9 + 97 + 8 + 5 + 76 + 0 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 45777099785760.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40437040 + ... + 41553680.

It is an arithmetic number, because the mean of its divisors is an integer number (320085429300).

Almost surely, 2^{45777099785760} is an apocalyptic number.

45777099785760 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 45777099785760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92184603638400).

45777099785760 is an abundant number, since it is smaller than the sum of its proper divisors (138592107491040).

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

45777099785760 is a wasteful number, since it uses less digits than its factorization.

45777099785760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1116766 (or 1116741 counting only the distinct ones).

The product of its (nonzero) digits is 6534561600, while the sum is 81.

The spelling of 45777099785760 in words is "forty-five trillion, seven hundred seventy-seven billion, ninety-nine million, seven hundred eighty-five thousand, seven hundred sixty".