534295388160 has 560 divisors, whose sum is σ = 2028317498856. Its totient is φ = 134083510272.

The previous prime is 534295388117. The next prime is 534295388161. The reversal of 534295388160 is 61883592435.

534295388160 is a `hidden beast` number, since 5 + 3 + 4 + 29 + 538 + 81 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 534279131136 + 16257024 = 730944^2 + 4032^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 534295388097 and 534295388106.

It is not an unprimeable number, because it can be changed into a prime (534295388161) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 56397184 + ... + 56406656.

Almost surely, 2^534295388160 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 534295388160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1014158749428).

534295388160 is an abundant number, since it is smaller than the sum of its proper divisors (1494022110696).

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

534295388160 is an equidigital number, since it uses as much as digits as its factorization.

534295388160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9533 (or 9500 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 534295388160 in words is "five hundred thirty-four billion, two hundred ninety-five million, three hundred eighty-eight thousand, one hundred sixty".