534891340800 has 330 divisors, whose sum is σ = 1980647424338. Its totient is φ = 142637137920.

The previous prime is 534891340777. The next prime is 534891340861. The reversal of 534891340800 is 8043198435.

534891340800 is a `hidden beast` number, since 53 + 489 + 1 + 3 + 40 + 80 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 191102976 + 534700237824 = 13824^2 + 731232^2 .

It is a super-2 number, since 2×534891340800² (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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1944624 + ... + 2202576.

Almost surely, 2^534891340800 is an apocalyptic number.

534891340800 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 534891340800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (990323712169).

534891340800 is an abundant number, since it is smaller than the sum of its proper divisors (1445756083538).

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

534891340800 is a wasteful number, since it uses less digits than its factorization.

534891340800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257995 (or 257963 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 534891340800 in words is "five hundred thirty-four billion, eight hundred ninety-one million, three hundred forty thousand, eight hundred".