534270819166560 has 2304 divisors, whose sum is σ = 2466372619468800. Its totient is φ = 107091345715200.

The previous prime is 534270819166559. The next prime is 534270819166561. The reversal of 534270819166560 is 65661918072435.

It is a happy number.

534270819166560 is a `hidden beast` number, since 5 + 3 + 4 + 2 + 7 + 0 + 8 + 1 + 9 + 1 + 66 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (534270819166559) and next prime (534270819166561).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (534270819166561) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2867535805 + ... + 2867722115.

It is an arithmetic number, because the mean of its divisors is an integer number (1070474227200).

It is a 1-persistent number, because it is pandigital, but 2⋅534270819166560 = 1068541638333120 is not.

Almost surely, 2^{534270819166560} 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 534270819166560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1233186309734400).

534270819166560 is an abundant number, since it is smaller than the sum of its proper divisors (1932101800302240).

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

534270819166560 is a wasteful number, since it uses less digits than its factorization.

534270819166560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186422 (or 186401 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 534270819166560 in words is "five hundred thirty-four trillion, two hundred seventy billion, eight hundred nineteen million, one hundred sixty-six thousand, five hundred sixty".