495480001536 has 880 divisors, whose sum is σ = 1678660003328. Its totient is φ = 145118822400.

The previous prime is 495480001427. The next prime is 495480001607. The reversal of 495480001536 is 635100084594.

495480001536 is a `hidden beast` number, since 495 + 4 + 8 + 0 + 0 + 0 + 153 + 6 = 666.

It is a super-2 number, since 2×495480001536² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 495480001491 and 495480001500.

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 79 ways as a sum of consecutive naturals, for example, 8122622946 + ... + 8122623006.

Almost surely, 2^495480001536 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 495480001536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (839330001664).

495480001536 is an abundant number, since it is smaller than the sum of its proper divisors (1183180001792).

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

495480001536 is an frugal number, since it uses more digits than its factorization.

495480001536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 495480001536 in words is "four hundred ninety-five billion, four hundred eighty million, one thousand, five hundred thirty-six".