506105200416 has 48 divisors (see below), whose sum is σ = 1330144538688. Its totient is φ = 168496224000.

The previous prime is 506105200399. The next prime is 506105200421. The reversal of 506105200416 is 614002501605.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×506105200416² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3131860 + ... + 3289491.

It is an arithmetic number, because the mean of its divisors is an integer number (27711344556).

Almost surely, 2^506105200416 is an apocalyptic number.

It is an amenable number.

506105200416 is an abundant number, since it is smaller than the sum of its proper divisors (824039338272).

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

506105200416 is a wasteful number, since it uses less digits than its factorization.

506105200416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6422185 (or 6422177 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The spelling of 506105200416 in words is "five hundred six billion, one hundred five million, two hundred thousand, four hundred sixteen".