534461007200 has 72 divisors (see below), whose sum is σ = 1304854452720. Its totient is φ = 213767769600.

The previous prime is 534461007173. The next prime is 534461007203. The reversal of 534461007200 is 2700164435.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (534461007203) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 18600845 + ... + 18629555.

It is an arithmetic number, because the mean of its divisors is an integer number (18122978510).

Almost surely, 2^534461007200 is an apocalyptic number.

534461007200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

534461007200 is an abundant number, since it is smaller than the sum of its proper divisors (770393445520).

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

534461007200 is a wasteful number, since it uses less digits than its factorization.

534461007200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52000 (or 51987 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The spelling of 534461007200 in words is "five hundred thirty-four billion, four hundred sixty-one million, seven thousand, two hundred".