534376235520 has 480 divisors, whose sum is σ = 1947200214960. Its totient is φ = 135258439680.

The previous prime is 534376235501. The next prime is 534376235531. The reversal of 534376235520 is 25532673435.

534376235520 is a `hidden beast` number, since 5 + 3 + 4 + 3 + 76 + 23 + 552 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 234054699264 + 300321536256 = 483792^2 + 548016^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×534376235520² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34944036 + ... + 34959324.

Almost surely, 2^534376235520 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 534376235520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (973600107480).

534376235520 is an abundant number, since it is smaller than the sum of its proper divisors (1412823979440).

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

534376235520 is a wasteful number, since it uses less digits than its factorization.

534376235520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15396 (or 15377 counting only the distinct ones).

The product of its (nonzero) digits is 2268000, while the sum is 45.

The spelling of 534376235520 in words is "five hundred thirty-four billion, three hundred seventy-six million, two hundred thirty-five thousand, five hundred twenty".