534875140800 has 5040 divisors, whose sum is σ = 2919543137280. Its totient is φ = 94058496000.

The previous prime is 534875140771. The next prime is 534875140801. The reversal of 534875140800 is 8041578435.

534875140800 is a `hidden beast` number, since 5 + 3 + 487 + 51 + 40 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5040).

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 (534875140801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 17254036785 + ... + 17254036815.

It is an arithmetic number, because the mean of its divisors is an integer number (579274432).

Almost surely, 2^534875140800 is an apocalyptic number.

534875140800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 534875140800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1459771568640).

534875140800 is an abundant number, since it is smaller than the sum of its proper divisors (2384667996480).

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

534875140800 is a wasteful number, since it uses less digits than its factorization.

534875140800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 534875140800 in words is "five hundred thirty-four billion, eight hundred seventy-five million, one hundred forty thousand, eight hundred".