534251129760 has 576 divisors, whose sum is σ = 1943640002304. Its totient is φ = 138499891200.

The previous prime is 534251129689. The next prime is 534251129761. The reversal of 534251129760 is 67921152435.

534251129760 is a `hidden beast` number, since 5 + 3 + 42 + 511 + 2 + 97 + 6 + 0 = 666.

534251129760 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 (534251129761) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 734870517 + ... + 734871243.

It is an arithmetic number, because the mean of its divisors is an integer number (3374375004).

Almost surely, 2^534251129760 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 534251129760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (971820001152).

534251129760 is an abundant number, since it is smaller than the sum of its proper divisors (1409388872544).

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

534251129760 is a wasteful number, since it uses less digits than its factorization.

534251129760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1259 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 534251129760 in words is "five hundred thirty-four billion, two hundred fifty-one million, one hundred twenty-nine thousand, seven hundred sixty".