534764054160 has 960 divisors, whose sum is σ = 2219217960960. Its totient is φ = 117102827520.

The previous prime is 534764054159. The next prime is 534764054161. The reversal of 534764054160 is 61450467435.

534764054160 is a `hidden beast` number, since 5 + 3 + 4 + 7 + 6 + 40 + 541 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (534764054159) and next prime (534764054161).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (534764054161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 459813739 + ... + 459814901.

It is an arithmetic number, because the mean of its divisors is an integer number (2311685376).

Almost surely, 2^534764054160 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 534764054160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1109608980480).

534764054160 is an abundant number, since it is smaller than the sum of its proper divisors (1684453906800).

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

534764054160 is a wasteful number, since it uses less digits than its factorization.

534764054160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1338 (or 1320 counting only the distinct ones).

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

The spelling of 534764054160 in words is "five hundred thirty-four billion, seven hundred sixty-four million, fifty-four thousand, one hundred sixty".