504808714080 has 1536 divisors, whose sum is σ = 2158642483200. Its totient is φ = 108675072000.

The previous prime is 504808714079. The next prime is 504808714099. The reversal of 504808714080 is 80417808405.

504808714080 is a `hidden beast` number, since 5 + 0 + 480 + 87 + 14 + 0 + 80 = 666.

504808714080 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×504808714080² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1876612186 + ... + 1876612454.

It is an arithmetic number, because the mean of its divisors is an integer number (1405366200).

Almost surely, 2^504808714080 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 504808714080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1079321241600).

504808714080 is an abundant number, since it is smaller than the sum of its proper divisors (1653833769120).

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

504808714080 is a wasteful number, since it uses less digits than its factorization.

504808714080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The spelling of 504808714080 in words is "five hundred four billion, eight hundred eight million, seven hundred fourteen thousand, eighty".