545896024128 has 1344 divisors, whose sum is σ = 2117405122560. Its totient is φ = 135569645568.

The previous prime is 545896024049. The next prime is 545896024139. The reversal of 545896024128 is 821420698545.

545896024128 is a `hidden beast` number, since 5 + 4 + 5 + 8 + 9 + 602 + 4 + 1 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1928961075 + ... + 1928961357.

It is an arithmetic number, because the mean of its divisors is an integer number (1575450240).

Almost surely, 2^545896024128 is an apocalyptic number.

545896024128 is a gapful number since it is divisible by the number (58) 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 545896024128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1058702561280).

545896024128 is an abundant number, since it is smaller than the sum of its proper divisors (1571509098432).

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

545896024128 is a wasteful number, since it uses less digits than its factorization.

545896024128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 545896024128 in words is "five hundred forty-five billion, eight hundred ninety-six million, twenty-four thousand, one hundred twenty-eight".