546619920549120 has 576 divisors, whose sum is σ = 2116270453651200. Its totient is φ = 132502097756160.

The previous prime is 546619920549107. The next prime is 546619920549127. The reversal of 546619920549120 is 21945029916645.

546619920549120 is a `hidden beast` number, since 5 + 4 + 6 + 61 + 9 + 9 + 2 + 0 + 549 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×546619920549120² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (546619920549127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4717347504 + ... + 4717463376.

It is an arithmetic number, because the mean of its divisors is an integer number (3674080648700).

Almost surely, 2^{546619920549120} 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 546619920549120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1058135226825600).

546619920549120 is an abundant number, since it is smaller than the sum of its proper divisors (1569650533102080).

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

546619920549120 is a wasteful number, since it uses less digits than its factorization.

546619920549120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128323 (or 128303 counting only the distinct ones).

The product of its (nonzero) digits is 41990400, while the sum is 63.

The spelling of 546619920549120 in words is "five hundred forty-six trillion, six hundred nineteen billion, nine hundred twenty million, five hundred forty-nine thousand, one hundred twenty".