501169680 has 400 divisors, whose sum is σ = 1944518400. Its totient is φ = 118609920.

The previous prime is 501169679. The next prime is 501169727. The reversal of 501169680 is 86961105.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 5631076 + ... + 5631164.

It is an arithmetic number, because the mean of its divisors is an integer number (4861296).

Almost surely, 2^501169680 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 501169680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (972259200).

501169680 is an abundant number, since it is smaller than the sum of its proper divisors (1443348720).

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

501169680 is a wasteful number, since it uses less digits than its factorization.

501169680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 501169680 is about 22386.8193363863. The cubic root of 501169680 is about 794.3189610746.

It can be divided in two parts, 5011 and 69680, that added together give a triangular number (74691 = T₃₈₆).

The spelling of 501169680 in words is "five hundred one million, one hundred sixty-nine thousand, six hundred eighty".