501649509917584 has 160 divisors (see below), whose sum is σ = 1170092101812480. Its totient is φ = 203532050128896.

The previous prime is 501649509917557. The next prime is 501649509917587. The reversal of 501649509917584 is 485719905946105.

It is not an unprimeable number, because it can be changed into a prime (501649509917587) 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 31 ways as a sum of consecutive naturals, for example, 19006901892 + ... + 19006928284.

It is an arithmetic number, because the mean of its divisors is an integer number (7313075636328).

Almost surely, 2^{501649509917584} 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 501649509917584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585046050906240).

501649509917584 is an abundant number, since it is smaller than the sum of its proper divisors (668442591894896).

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

501649509917584 is a wasteful number, since it uses less digits than its factorization.

501649509917584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32457 (or 32451 counting only the distinct ones).

The product of its (nonzero) digits is 489888000, while the sum is 73.

The spelling of 501649509917584 in words is "five hundred one trillion, six hundred forty-nine billion, five hundred nine million, nine hundred seventeen thousand, five hundred eighty-four".