534756160224 has 480 divisors, whose sum is σ = 1853991659520. Its totient is φ = 149069030400.

The previous prime is 534756160219. The next prime is 534756160241. The reversal of 534756160224 is 422061657435.

534756160224 is a `hidden beast` number, since 5 + 3 + 4 + 7 + 5 + 616 + 0 + 2 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 534756160224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 115271697 + ... + 115276335.

It is an arithmetic number, because the mean of its divisors is an integer number (3862482624).

Almost surely, 2^534756160224 is an apocalyptic number.

534756160224 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 534756160224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (926995829760).

534756160224 is an abundant number, since it is smaller than the sum of its proper divisors (1319235499296).

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

534756160224 is a wasteful number, since it uses less digits than its factorization.

534756160224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4996 (or 4979 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 534756160224 in words is "five hundred thirty-four billion, seven hundred fifty-six million, one hundred sixty thousand, two hundred twenty-four".