546009569280 has 1152 divisors, whose sum is σ = 2298116620800. Its totient is φ = 121899810816.

The previous prime is 546009569267. The next prime is 546009569299. The reversal of 546009569280 is 82965900645.

It is a happy number.

546009569280 is a `hidden beast` number, since 5 + 4 + 600 + 9 + 5 + 6 + 9 + 28 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×546009569280² (a number of 24 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 12697896939 + ... + 12697896981.

It is an arithmetic number, because the mean of its divisors is an integer number (1994892900).

Almost surely, 2^546009569280 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 546009569280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1149058310400).

546009569280 is an abundant number, since it is smaller than the sum of its proper divisors (1752107051520).

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

546009569280 is an frugal number, since it uses more digits than its factorization.

546009569280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 546009569280 in words is "five hundred forty-six billion, nine million, five hundred sixty-nine thousand, two hundred eighty".