501930395574916 has 288 divisors, whose sum is σ = 1136887773880320. Its totient is φ = 189725747904000.

The previous prime is 501930395574901. The next prime is 501930395574929. The reversal of 501930395574916 is 619475593039105.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 7708809201 + ... + 7708874311.

It is an arithmetic number, because the mean of its divisors is an integer number (3947526992640).

Almost surely, 2^{501930395574916} 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 501930395574916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568443886940160).

501930395574916 is an abundant number, since it is smaller than the sum of its proper divisors (634957378305404).

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

501930395574916 is a wasteful number, since it uses less digits than its factorization.

501930395574916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65727 (or 65714 counting only the distinct ones).

The product of its (nonzero) digits is 137781000, while the sum is 67.

The spelling of 501930395574916 in words is "five hundred one trillion, nine hundred thirty billion, three hundred ninety-five million, five hundred seventy-four thousand, nine hundred sixteen".