534019875840 has 704 divisors, whose sum is σ = 2118745221120. Its totient is φ = 126433198080.

The previous prime is 534019875713. The next prime is 534019875847. The reversal of 534019875840 is 48578910435.

534019875840 is a `hidden beast` number, since 5 + 3 + 40 + 19 + 8 + 7 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

It is a super-3 number, since 3×534019875840³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (534019875847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 65383437 + ... + 65391603.

It is an arithmetic number, because the mean of its divisors is an integer number (3009581280).

Almost surely, 2^534019875840 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 534019875840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1059372610560).

534019875840 is an abundant number, since it is smaller than the sum of its proper divisors (1584725345280).

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

534019875840 is a wasteful number, since it uses less digits than its factorization.

534019875840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8255 (or 8231 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 534019875840 in words is "five hundred thirty-four billion, nineteen million, eight hundred seventy-five thousand, eight hundred forty".