545526334080 has 2304 divisors, whose sum is σ = 2593245715200. Its totient is φ = 105524674560.

The previous prime is 545526334043. The next prime is 545526334081. The reversal of 545526334080 is 80433625545.

545526334080 is a `hidden beast` number, since 5 + 4 + 5 + 5 + 2 + 633 + 4 + 0 + 8 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (545526334081) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 17597623665 + ... + 17597623695.

It is an arithmetic number, because the mean of its divisors is an integer number (1125540675).

Almost surely, 2^545526334080 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 545526334080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1296622857600).

545526334080 is an abundant number, since it is smaller than the sum of its proper divisors (2047719381120).

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

545526334080 is a wasteful number, since it uses less digits than its factorization.

545526334080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

The spelling of 545526334080 in words is "five hundred forty-five billion, five hundred twenty-six million, three hundred thirty-four thousand, eighty".