534541763400 has 384 divisors, whose sum is σ = 1759288291200. Its totient is φ = 134030131200.

The previous prime is 534541763389. The next prime is 534541763417. The reversal of 534541763400 is 4367145435.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 314991352 + ... + 314993048.

It is an arithmetic number, because the mean of its divisors is an integer number (4581479925).

Almost surely, 2^534541763400 is an apocalyptic number.

534541763400 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 534541763400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (879644145600).

534541763400 is an abundant number, since it is smaller than the sum of its proper divisors (1224746527800).

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

534541763400 is a wasteful number, since it uses less digits than its factorization.

534541763400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2209 (or 2200 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 42.

The spelling of 534541763400 in words is "five hundred thirty-four billion, five hundred forty-one million, seven hundred sixty-three thousand, four hundred".