546200228171520 has 3456 divisors, whose sum is σ = 2359699717939200. Its totient is φ = 115134192156672.

The previous prime is 546200228171473. The next prime is 546200228171531. The reversal of 546200228171520 is 25171822002645.

546200228171520 is a `hidden beast` number, since 5 + 4 + 6 + 20 + 0 + 22 + 81 + 7 + 1 + 520 = 666.

It is a super-2 number, since 2×546200228171520² (a number of 30 digits) contains 22 as substring.

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 383 ways as a sum of consecutive naturals, for example, 141392757109 + ... + 141392760971.

It is an arithmetic number, because the mean of its divisors is an integer number (682783483200).

Almost surely, 2^{546200228171520} 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 546200228171520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1179849858969600).

546200228171520 is an abundant number, since it is smaller than the sum of its proper divisors (1813499489767680).

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

546200228171520 is a wasteful number, since it uses less digits than its factorization.

546200228171520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4055 (or 4038 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 546200228171520 in words is "five hundred forty-six trillion, two hundred billion, two hundred twenty-eight million, one hundred seventy-one thousand, five hundred twenty".