532740057600 has 960 divisors, whose sum is σ = 1972802304000. Its totient is φ = 126095523840.

The previous prime is 532740057539. The next prime is 532740057617. The reversal of 532740057600 is 6750047235.

It is a tau number, because it is divible by the number of its divisors (960).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 889382101 + ... + 889382699.

It is an arithmetic number, because the mean of its divisors is an integer number (2055002400).

Almost surely, 2^532740057600 is an apocalyptic number.

532740057600 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 532740057600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (986401152000).

532740057600 is an abundant number, since it is smaller than the sum of its proper divisors (1440062246400).

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

532740057600 is a wasteful number, since it uses less digits than its factorization.

532740057600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 39.

The spelling of 532740057600 in words is "five hundred thirty-two billion, seven hundred forty million, fifty-seven thousand, six hundred".