534812353976320 has 384 divisors, whose sum is σ = 1503679598628480. Its totient is φ = 178730686218240.

The previous prime is 534812353976311. The next prime is 534812353976357. The reversal of 534812353976320 is 23679353218435.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3282647502 + ... + 3282810418.

It is an arithmetic number, because the mean of its divisors is an integer number (3915832288095).

It is a 1-persistent number, because it is pandigital, but 2⋅534812353976320 = 1069624707952640 is not.

Almost surely, 2^{534812353976320} 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 534812353976320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751839799314240).

534812353976320 is an abundant number, since it is smaller than the sum of its proper divisors (968867244652160).

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

534812353976320 is a wasteful number, since it uses less digits than its factorization.

534812353976320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164109 (or 164089 counting only the distinct ones).

The product of its (nonzero) digits is 97977600, while the sum is 61.

The spelling of 534812353976320 in words is "five hundred thirty-four trillion, eight hundred twelve billion, three hundred fifty-three million, nine hundred seventy-six thousand, three hundred twenty".