504957066096 has 160 divisors (see below), whose sum is σ = 1591983820800. Its totient is φ = 134804920320.

The previous prime is 504957066077. The next prime is 504957066109. The reversal of 504957066096 is 690660759405.

It is a super-2 number, since 2×504957066096² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 533781 + ... + 1137908.

It is an arithmetic number, because the mean of its divisors is an integer number (9949898880).

Almost surely, 2^504957066096 is an apocalyptic number.

504957066096 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

504957066096 is an abundant number, since it is smaller than the sum of its proper divisors (1087026754704).

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

504957066096 is a wasteful number, since it uses less digits than its factorization.

504957066096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1671767 (or 1671761 counting only the distinct ones).

The product of its (nonzero) digits is 12247200, while the sum is 57.

The spelling of 504957066096 in words is "five hundred four billion, nine hundred fifty-seven million, sixty-six thousand, ninety-six".