545728821120 has 1536 divisors, whose sum is σ = 2459405721600. Its totient is φ = 113520476160.

The previous prime is 545728821101. The next prime is 545728821139. The reversal of 545728821120 is 21128827545.

545728821120 is a `hidden beast` number, since 5 + 457 + 2 + 8 + 82 + 112 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (545728821101) and next prime (545728821139).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 446220829 + ... + 446222051.

It is an arithmetic number, because the mean of its divisors is an integer number (1601175600).

Almost surely, 2^545728821120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 545728821120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1229702860800).

545728821120 is an abundant number, since it is smaller than the sum of its proper divisors (1913676900480).

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

545728821120 is a wasteful number, since it uses less digits than its factorization.

545728821120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1313 (or 1288 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 45.

The spelling of 545728821120 in words is "five hundred forty-five billion, seven hundred twenty-eight million, eight hundred twenty-one thousand, one hundred twenty".