532169478949680 has 7680 divisors, whose sum is σ = 2547254565273600. Its totient is φ = 101031365836800.

The previous prime is 532169478949649. The next prime is 532169478949687. The reversal of 532169478949680 is 86949874961235.

It is a happy number.

532169478949680 is a `hidden beast` number, since 5 + 3 + 2 + 1 + 6 + 9 + 47 + 8 + 9 + 496 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 532169478949680.

It is not an unprimeable number, because it can be changed into a prime (532169478949687) 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 1535 ways as a sum of consecutive naturals, for example, 2786227638385 + ... + 2786227638575.

It is an arithmetic number, because the mean of its divisors is an integer number (331673771520).

It is a 1-persistent number, because it is pandigital, but 2⋅532169478949680 = 1064338957899360 is not.

Almost surely, 2^{532169478949680} 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 532169478949680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1273627282636800).

532169478949680 is an abundant number, since it is smaller than the sum of its proper divisors (2015085086323920).

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

532169478949680 is a wasteful number, since it uses less digits than its factorization.

532169478949680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 5643509760, while the sum is 81.

The spelling of 532169478949680 in words is "five hundred thirty-two trillion, one hundred sixty-nine billion, four hundred seventy-eight million, nine hundred forty-nine thousand, six hundred eighty".