45805782528000 has 4160 divisors, whose sum is σ = 199488284835840. Its totient is φ = 10351411200000.

The previous prime is 45805782527993. The next prime is 45805782528017. The reversal of 45805782528000 is 82528750854.

45805782528000 is a `hidden beast` number, since 4 + 580 + 5 + 7 + 8 + 2 + 52 + 8 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 579820031961 + ... + 579820032039.

It is an arithmetic number, because the mean of its divisors is an integer number (47953914624).

Almost surely, 2^{45805782528000} is an apocalyptic number.

45805782528000 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 45805782528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99744142417920).

45805782528000 is an abundant number, since it is smaller than the sum of its proper divisors (153682502307840).

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

45805782528000 is a wasteful number, since it uses less digits than its factorization.

45805782528000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 7168000, while the sum is 54.

The spelling of 45805782528000 in words is "forty-five trillion, eight hundred five billion, seven hundred eighty-two million, five hundred twenty-eight thousand".