495505419552 has 1152 divisors, whose sum is σ = 1861880832000. Its totient is φ = 126866995200.

The previous prime is 495505419499. The next prime is 495505419581. The reversal of 495505419552 is 255914505594.

495505419552 is a `hidden beast` number, since 4 + 9 + 5 + 5 + 0 + 541 + 95 + 5 + 2 = 666.

495505419552 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 800493099 + ... + 800493717.

It is an arithmetic number, because the mean of its divisors is an integer number (1616216000).

Almost surely, 2^495505419552 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 495505419552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (930940416000).

495505419552 is an abundant number, since it is smaller than the sum of its proper divisors (1366375412448).

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

495505419552 is a wasteful number, since it uses less digits than its factorization.

495505419552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 8100000, while the sum is 54.

The spelling of 495505419552 in words is "four hundred ninety-five billion, five hundred five million, four hundred nineteen thousand, five hundred fifty-two".