504961495092 has 192 divisors, whose sum is σ = 1374866841600. Its totient is φ = 162060829056.

The previous prime is 504961495057. The next prime is 504961495123. The reversal of 504961495092 is 290594169405.

504961495092 is a `hidden beast` number, since 5 + 0 + 4 + 9 + 61 + 495 + 0 + 92 = 666.

It is a super-2 number, since 2×504961495092² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 63 ways as a sum of consecutive naturals, for example, 97161438 + ... + 97166634.

It is an arithmetic number, because the mean of its divisors is an integer number (7160764800).

Almost surely, 2^504961495092 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 504961495092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687433420800).

504961495092 is an abundant number, since it is smaller than the sum of its proper divisors (869905346508).

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

504961495092 is a wasteful number, since it uses less digits than its factorization.

504961495092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5634 (or 5614 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 504961495092 in words is "five hundred four billion, nine hundred sixty-one million, four hundred ninety-five thousand, ninety-two".