545957913346560 has 5120 divisors, whose sum is σ = 2450093184000000. Its totient is φ = 113274377994240.

The previous prime is 545957913346537. The next prime is 545957913346583. The reversal of 545957913346560 is 65643319759545.

545957913346560 is a `hidden beast` number, since 5 + 4 + 5 + 9 + 5 + 7 + 9 + 13 + 3 + 46 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (545957913346537) and next prime (545957913346583).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 3050044208551 + ... + 3050044208729.

It is an arithmetic number, because the mean of its divisors is an integer number (478533825000).

Almost surely, 2^{545957913346560} 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 545957913346560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1225046592000000).

545957913346560 is an abundant number, since it is smaller than the sum of its proper divisors (1904135270653440).

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

545957913346560 is a wasteful number, since it uses less digits than its factorization.

545957913346560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 1837080000, while the sum is 72.

The spelling of 545957913346560 in words is "five hundred forty-five trillion, nine hundred fifty-seven billion, nine hundred thirteen million, three hundred forty-six thousand, five hundred sixty".