495959457710080 has 1440 divisors, whose sum is σ = 1556877604830912. Its totient is φ = 150181458739200.

The previous prime is 495959457710071. The next prime is 495959457710273. The reversal of 495959457710080 is 80017754959594.

It is a junction number, because it is equal to n+sod(n) for n = 495959457709985 and 495959457710012.

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 95 ways as a sum of consecutive naturals, for example, 117777119175 + ... + 117777123385.

Almost surely, 2^{495959457710080} is an apocalyptic number.

495959457710080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 495959457710080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778438802415456).

495959457710080 is an abundant number, since it is smaller than the sum of its proper divisors (1060918147120832).

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

495959457710080 is a wasteful number, since it uses less digits than its factorization.

495959457710080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4369 (or 4336 counting only the distinct ones).

The product of its (nonzero) digits is 571536000, while the sum is 73.

The spelling of 495959457710080 in words is "four hundred ninety-five trillion, nine hundred fifty-nine billion, four hundred fifty-seven million, seven hundred ten thousand, eighty".