532563760475904 has 1152 divisors, whose sum is σ = 1581722821066752. Its totient is φ = 158534967951360.

The previous prime is 532563760475897. The next prime is 532563760475909. The reversal of 532563760475904 is 409574067365235.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (532563760475909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 487249551582 + ... + 487249552674.

It is an arithmetic number, because the mean of its divisors is an integer number (1373023282176).

Almost surely, 2^{532563760475904} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 532563760475904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790861410533376).

532563760475904 is an abundant number, since it is smaller than the sum of its proper divisors (1049159060590848).

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

532563760475904 is a wasteful number, since it uses less digits than its factorization.

532563760475904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1485 (or 1471 counting only the distinct ones).

The product of its (nonzero) digits is 571536000, while the sum is 66.

The spelling of 532563760475904 in words is "five hundred thirty-two trillion, five hundred sixty-three billion, seven hundred sixty million, four hundred seventy-five thousand, nine hundred four".