495707960160 has 960 divisors, whose sum is σ = 2172708679680. Its totient is φ = 103867453440.

The previous prime is 495707960131. The next prime is 495707960203. The reversal of 495707960160 is 61069707594.

495707960160 is a `hidden beast` number, since 4 + 9 + 570 + 7 + 9 + 6 + 0 + 1 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 495707960097 and 495707960106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 53429442 + ... + 53438718.

It is an arithmetic number, because the mean of its divisors is an integer number (2263238208).

Almost surely, 2^495707960160 is an apocalyptic number.

495707960160 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 495707960160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1086354339840).

495707960160 is an abundant number, since it is smaller than the sum of its proper divisors (1677000719520).

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

495707960160 is a wasteful number, since it uses less digits than its factorization.

495707960160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9361 (or 9344 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The spelling of 495707960160 in words is "four hundred ninety-five billion, seven hundred seven million, nine hundred sixty thousand, one hundred sixty".